=(x+2)(x-6)

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Solution for =(x+2)(x-6) equation: 


Simplifying
0 = (x + 2)(x + -6)

Reorder the terms:
0 = (2 + x)(x + -6)

Reorder the terms:
0 = (2 + x)(-6 + x)

Multiply (2 + x) * (-6 + x)
0 = (2(-6 + x) + x(-6 + x))
0 = ((-6 * 2 + x * 2) + x(-6 + x))
0 = ((-12 + 2x) + x(-6 + x))
0 = (-12 + 2x + (-6 * x + x * x))
0 = (-12 + 2x + (-6x + x2))

Combine like terms: 2x + -6x = -4x
0 = (-12 + -4x + x2)

Solving
0 = -12 + -4x + x2

Solving for variable 'x'.

Combine like terms: 0 + 12 = 12
12 + 4x + -1x2 = -12 + -4x + x2 + 12 + 4x + -1x2

Reorder the terms:
12 + 4x + -1x2 = -12 + 12 + -4x + 4x + x2 + -1x2

Combine like terms: -12 + 12 = 0
12 + 4x + -1x2 = 0 + -4x + 4x + x2 + -1x2
12 + 4x + -1x2 = -4x + 4x + x2 + -1x2

Combine like terms: -4x + 4x = 0
12 + 4x + -1x2 = 0 + x2 + -1x2
12 + 4x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
12 + 4x + -1x2 = 0

Factor a trinomial.
(6 + -1x)(2 + x) = 0


Subproblem 1
Set the factor '(6 + -1x)' equal to zero and attempt to solve:

Simplifying
6 + -1x = 0

Solving
6 + -1x = 0

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

Add '-6' to each side of the equation.
6 + -6 + -1x = 0 + -6

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

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

Divide each side by '-1'.
x = 6

Simplifying
x = 6

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

Simplifying
2 + x = 0

Solving
2 + x = 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 + x = 0 + -2

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

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

Simplifying
x = -2
Solution
x = {6, -2}

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