Solution of x² + 8x + 12 = 0?

x = -6 , -2

Step-by-step explanation:

Find factors of x² and 12, in which, when combined, will give 8x:

x² + 8x + 12 = 0

x               6

x               2

(x + 6)(x + 2) = 0

Check. Use the FOIL method:

First, combine the first terms:  x * x = x²

Next, combine the outside terms: x * 2 = 2x

Then, combine the inside terms: 6 * x = 6x

Finally, combine the last terms: 6 * 2 = 12

Combine like terms: x² + (2x + 6x) + 12

                                  x² + 8x + 12

Solve for the solutions. Set each parenthesis equal to 0:

(x + 6)(x + 2) = 0

(x + 6) = 0

(x + 2) = 0

Isolate the variable x. Subtract 6 & 2 from both sides for their respective equation:

x + 6 = 0

x + 6 (-6) = 0 (-6)

x = 0 - 6

x = -6

x + 2 = 0

x + 2 (-2) = 0 (-2)

x = 0 - 2

x = -2

x = -6 , -2

~

{-6, -2}

Step-by-step explanation: First look if you can factor the left side.

In this case, the trinomial on the left can be factored.

The left side of the equation is a trinomial in a special form

that can be factored as the product of two binomials.

As our first term for each binomial, we will have the factors of x².

Since x² breaks down into x · x, we use an

x in the first position of each binomial.

For our second term, we are looking

for factors of 12 that add to 8.

In this case, these factors are 6 and 2.

So we have (x + 6)(x + 2) = 0.

So either x + 6 = 0 or x + 2 = 0.

Solving each equation from here, we find that x = -6 or x = -2.

We can write our answer as the solution set {-6, -2}.

answer: e 9, 5.75

step-by-step explanation:

step 1

find the variation ab in the x coordinate

delta x=(x2-x1)=10-> 8 units

find the variation ab  in the y coordinate 

delta y=(y2-y1)=6-> 2 units

step 2

find the coordinates point c

  x coordinate 

cx=ax+delta x*2/> cx=2+8*(2/> cx=3

  y coordinate 

cy=ay+delta y*2/> cy=4+2*(2/> cy=4.25

the coordinates of point c are (3,4.25)

step 3

find the coordinates point d

  x  coordinate 

dx=ax+delta x*4/> dx=2+8*(4/> dx=4

  y  coordinate 

dy=ay+delta y*4/> dy=4+2*(4/> dy=4.5

the coordinates of point d are (4, 4.5)

step 4

find the coordinates point e

  x  coordinate 

ex=ax+delta x*4/> ex=2+8*(6/> ex=5

  y  coordinate 

ey=ay+delta y*4/> ey=4+2*(6/> ey=4.75

the coordinates of point e are (5, 4.75)

step 5

find the coordinates point f

  x  coordinate 

fx=ax+delta x*4/> fx=2+8*(8/> fx=6

  y  coordinate 

fy=ay+delta y*4/> fy=4+2*(8/> fy=5

the coordinates of point f are (6,5)

step 6

find the coordinates point g

  x  coordinate 

gx=ax+delta x*4/> gx=2+8*(10/> gx=7

  y  coordinate 

gy=ay+delta y*4/> gy=4+2*(10/> gy=5.25

the coordinates of point g are (7,5.25)

step 7

find the coordinates point h

  x  coordinate 

hx=ax+delta x*4/> hx=2+8*(12/> hx=8

  y  coordinate 

hy=ay+delta y*4/> hy=4+2*(12/> hy=5.5

the coordinates of point h are (8,5.5)

step 8

find the coordinates point i

  x  coordinate 

ix=ax+delta x*4/> ix=2+8*(14/> ix=9

  y  coordinate 

iy=ay+delta y*4/> iy=4+2*(14/> iy=5.75

the coordinates of point i are (9,5.75)

- r3ktforgood ☕

using pemdas, (order of operations) you'll see the answer is 24.