-8x(x+2)=2(x-13)

Solution for -8x(x+2)=2(x-13) equation:

Simplifying
-8x(x + 2) = 2(x + -13)

Reorder the terms:
-8x(2 + x) = 2(x + -13)
(2 * -8x + x * -8x) = 2(x + -13)
(-16x + -8x2) = 2(x + -13)

Reorder the terms:
-16x + -8x2 = 2(-13 + x)
-16x + -8x2 = (-13 * 2 + x * 2)
-16x + -8x2 = (-26 + 2x)

Solving
-16x + -8x2 = -26 + 2x

Solving for variable 'x'.

Reorder the terms:
26 + -16x + -2x + -8x2 = -26 + 2x + 26 + -2x

Combine like terms: -16x + -2x = -18x
26 + -18x + -8x2 = -26 + 2x + 26 + -2x

Reorder the terms:
26 + -18x + -8x2 = -26 + 26 + 2x + -2x

Combine like terms: -26 + 26 = 0
26 + -18x + -8x2 = 0 + 2x + -2x
26 + -18x + -8x2 = 2x + -2x

Combine like terms: 2x + -2x = 0
26 + -18x + -8x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(13 + -9x + -4x2) = 0

Factor a trinomial.
2((1 + -1x)(13 + 4x)) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(1 + -1x)' equal to zero and attempt to solve:

Simplifying
1 + -1x = 0

Solving
1 + -1x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-1' to each side of the equation.
1 + -1 + -1x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -1x = 0 + -1
-1x = 0 + -1

Combine like terms: 0 + -1 = -1
-1x = -1

Divide each side by '-1'.
x = 1

Simplifying
x = 1
Subproblem 2
Set the factor '(13 + 4x)' equal to zero and attempt to solve:

Simplifying
13 + 4x = 0

Solving
13 + 4x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-13' to each side of the equation.
13 + -13 + 4x = 0 + -13

Combine like terms: 13 + -13 = 0
0 + 4x = 0 + -13
4x = 0 + -13

Combine like terms: 0 + -13 = -13
4x = -13

Divide each side by '4'.
x = -3.25

Simplifying
x = -3.25
Solution
x = {1, -3.25}