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

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


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

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

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

Multiply (8 + x) * (-2 + x)
0 = (8(-2 + x) + x(-2 + x))
0 = ((-2 * 8 + x * 8) + x(-2 + x))
0 = ((-16 + 8x) + x(-2 + x))
0 = (-16 + 8x + (-2 * x + x * x))
0 = (-16 + 8x + (-2x + x2))

Combine like terms: 8x + -2x = 6x
0 = (-16 + 6x + x2)

Solving
0 = -16 + 6x + x2

Solving for variable 'x'.

Combine like terms: 0 + 16 = 16
16 + -6x + -1x2 = -16 + 6x + x2 + 16 + -6x + -1x2

Reorder the terms:
16 + -6x + -1x2 = -16 + 16 + 6x + -6x + x2 + -1x2

Combine like terms: -16 + 16 = 0
16 + -6x + -1x2 = 0 + 6x + -6x + x2 + -1x2
16 + -6x + -1x2 = 6x + -6x + x2 + -1x2

Combine like terms: 6x + -6x = 0
16 + -6x + -1x2 = 0 + x2 + -1x2
16 + -6x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
16 + -6x + -1x2 = 0

Factor a trinomial.
(2 + -1x)(8 + x) = 0


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

Simplifying
2 + -1x = 0

Solving
2 + -1x = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1x = 0 + -2
-1x = 0 + -2

Combine like terms: 0 + -2 = -2
-1x = -2

Divide each side by '-1'.
x = 2

Simplifying
x = 2

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 = {2, -8}

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