-5(1 – 5x)+5(-8x - 2) = - 4x – 8x
The answers are
X=-5
X=5
No solution
All real answers

x = -5

Step-by-step explanation:

Solve for x:

5 (-8 x - 2) - 5 (1 - 5 x) = -4 x - 8 x

-5 (1 - 5 x) = 25 x - 5:

25 x - 5 + 5 (-8 x - 2) = -4 x - 8 x

5 (-8 x - 2) = -40 x - 10:

25 x + -40 x - 10 - 5 = -4 x - 8 x

Grouping like terms, 25 x - 40 x - 10 - 5 = (25 x - 40 x) + (-5 - 10):

(25 x - 40 x) + (-5 - 10) = -4 x - 8 x

25 x - 40 x = -15 x:

-15 x + (-5 - 10) = -4 x - 8 x

-5 - 10 = -15:

-15 - 15 x = -4 x - 8 x

-4 x - 8 x = -12 x:

-15 x - 15 = -12 x

Add 12 x to both sides:

12 x - 15 x - 15 = 12 x - 12 x

12 x - 12 x = 0:

12 x - 15 x - 15 = 0

12 x - 15 x = -3 x:

-3 x - 15 = 0

Add 15 to both sides:

(15 - 15) - 3 x = 15

15 - 15 = 0:

-3 x = 15

Divide both sides of -3 x = 15 by -3:

(-3 x)/(-3) = 15/(-3)

(-3)/(-3) = 1:

x = 15/(-3)

The gcd of 15 and -3 is 3, so 15/(-3) = (3×5)/(3 (-1)) = 3/3×5/(-1) = 5/(-1):

x = 5/(-1)

Multiply numerator and denominator of 5/(-1) by -1:

 x = -5

g(x) = 3*(8(3^(x−2))+2)

g(x) = 24 (3^(x-2) )+6

the factor is 2

step-by-step explanation:

let f(x)=8(3^(x−2)+2)

to stretch a graph by 3, it would be 3f(x)

g(x) =3f(x)

g(x) = 3*(8(3^(x−2))+2)

g(x) = 24 (3^(x-2) )+6

x     −2     0     2     4     6

f(x) 1/64 1/16   1/4     1     4

1/64 * z * z = 1/16

i multiplies by z twice because it its 2 steps from -2 to 0

1/64 z^2 = 1/16

multiply by 64 to clear the fraction on the left side

1/4 * 64 z^2 =1/16 *64

z^2 = 4

take the square root of each side

sqrt(z^2) = ±sqrt(4)

z = ±2  

we are multiplying by 2 each time.