0=2(x+8)(x-1)

Solution for 0=2(x+8)(x-1) equation:

Simplifying
0 = 2(x + 8)(x + -1)

Reorder the terms:
0 = 2(8 + x)(x + -1)

Reorder the terms:
0 = 2(8 + x)(-1 + x)

Multiply (8 + x) * (-1 + x)
0 = 2(8(-1 + x) + x(-1 + x))
0 = 2((-1 * 8 + x * 8) + x(-1 + x))
0 = 2((-8 + 8x) + x(-1 + x))
0 = 2(-8 + 8x + (-1 * x + x * x))
0 = 2(-8 + 8x + (-1x + x2))

Combine like terms: 8x + -1x = 7x
0 = 2(-8 + 7x + x2)
0 = (-8 * 2 + 7x * 2 + x2 * 2)
0 = (-16 + 14x + 2x2)

Solving
0 = -16 + 14x + 2x2

Solving for variable 'x'.

Combine like terms: 0 + 16 = 16
16 + -14x + -2x2 = -16 + 14x + 2x2 + 16 + -14x + -2x2

Reorder the terms:
16 + -14x + -2x2 = -16 + 16 + 14x + -14x + 2x2 + -2x2

Combine like terms: -16 + 16 = 0
16 + -14x + -2x2 = 0 + 14x + -14x + 2x2 + -2x2
16 + -14x + -2x2 = 14x + -14x + 2x2 + -2x2

Combine like terms: 14x + -14x = 0
16 + -14x + -2x2 = 0 + 2x2 + -2x2
16 + -14x + -2x2 = 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
16 + -14x + -2x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(8 + -7x + -1x2) = 0

Factor a trinomial.
2((1 + -1x)(8 + x)) = 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 '(8 + x)' equal to zero and attempt to solve:

Simplifying
8 + x = 0

Solving
8 + x = 0

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

Add '-8' to each side of the equation.
8 + -8 + x = 0 + -8

Combine like terms: 8 + -8 = 0
0 + x = 0 + -8
x = 0 + -8

Combine like terms: 0 + -8 = -8
x = -8

Simplifying
x = -8
Solution
x = {1, -8}