Mathematics, 20.09.2020 06:01 coleman310

6x^2=32x+24 Need help learning factoring please put work so I can understand

Answers: 1

Show answers

Answers

Answer from: krystenlitten

2 • (x - 6) • (3x + 2)

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "x2" was replaced by "x^2".

STEP 1 : Equation at the end of step 1

((2•3x2) - 32x) - 24

STEP 2 : Pulling out like terms

Pull out like factors :

6x2 - 32x - 24 = 2 • (3x2 - 16x - 12)

Trying to factor by splitting the middle term

Factoring 3x2 - 16x - 12

The first term is, 3x2 its coefficient is 3 .

The middle term is, -16x its coefficient is -16 .

The last term, "the constant", is -12

Step-1 : Multiply the coefficient of the first term by the constant 3 • -12 = -36

Step-2 : Find two factors of -36 whose sum equals the coefficient of the middle term, which is -16 .

-36 + 1 = -35

-18 + 2 = -16 That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -18 and 2

3x2 - 18x + 2x - 12

Step-4 : Add up the first 2 terms, pulling out like factors :

3x • (x-6)

Add up the last 2 terms, pulling out common factors :

2 • (x-6)

Step-5 : Add up the four terms of step 4 :

(3x+2) • (x-6)

Which is the desired factorization

Final result : 2 • (x - 6) • (3x + 2)

Hope this helps~

Smoll mochi

Answer from: Quest

need points to ask question

step-by-step explanation:

Explain how you would find the measure of angle a. look at the image linked.

Answer from: Quest

the system of inequity is

$y\leq -x+4$

$3y> x$

step-by-step explanation:

from the given graph it is noticed that we have two related lines. one is solid and another is dashed.

if a line passing through two points, then the equation of line is

$y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)$

the solid line passing through the points (0,4) and (4,0).

$y-4=\frac{0-4}{4-0}(x-0)$

$y=-x+4$

the related equation of solid line is $y=-x+4$ .

similarly, find the related equation of dashed line. the dashed liune passing through the points (0,0) and (3,1).

$y-0=\frac{0-1}{3-0}(x-0)$

$3y=x$

the related equation of dashed line is $3y=x$

from the given graph it is noticed that the point (0,1) lies on the shaded region, therefore the point (0,1) must be satisfied by the related equations.

check the related equations by the point (0,1).

$1=-0+4$

$1=4$

this statement is true if the sign of inequality is < instead of equality. since it is an solid line therefore the sign of inequality will be $\leq$ . the required inequality is