8=(2x+10)(2x+8)

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Solution for 8=(2x+10)(2x+8) equation: 


Simplifying
8 = (2x + 10)(2x + 8)

Reorder the terms:
8 = (10 + 2x)(2x + 8)

Reorder the terms:
8 = (10 + 2x)(8 + 2x)

Multiply (10 + 2x) * (8 + 2x)
8 = (10(8 + 2x) + 2x * (8 + 2x))
8 = ((8 * 10 + 2x * 10) + 2x * (8 + 2x))
8 = ((80 + 20x) + 2x * (8 + 2x))
8 = (80 + 20x + (8 * 2x + 2x * 2x))
8 = (80 + 20x + (16x + 4x2))

Combine like terms: 20x + 16x = 36x
8 = (80 + 36x + 4x2)

Solving
8 = 80 + 36x + 4x2

Solving for variable 'x'.

Combine like terms: 8 + -80 = -72
-72 + -36x + -4x2 = 80 + 36x + 4x2 + -80 + -36x + -4x2

Reorder the terms:
-72 + -36x + -4x2 = 80 + -80 + 36x + -36x + 4x2 + -4x2

Combine like terms: 80 + -80 = 0
-72 + -36x + -4x2 = 0 + 36x + -36x + 4x2 + -4x2
-72 + -36x + -4x2 = 36x + -36x + 4x2 + -4x2

Combine like terms: 36x + -36x = 0
-72 + -36x + -4x2 = 0 + 4x2 + -4x2
-72 + -36x + -4x2 = 4x2 + -4x2

Combine like terms: 4x2 + -4x2 = 0
-72 + -36x + -4x2 = 0

Factor out the Greatest Common Factor (GCF), '-4'.
-4(18 + 9x + x2) = 0

Factor a trinomial.
-4((6 + x)(3 + x)) = 0

Ignore the factor -4.

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

Simplifying
6 + x = 0

Solving
6 + x = 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 + x = 0 + -6

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

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

Simplifying
x = -6

Subproblem 2
Set the factor '(3 + x)' equal to zero and attempt to solve:

Simplifying
3 + x = 0

Solving
3 + x = 0

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

Add '-3' to each side of the equation.
3 + -3 + x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + x = 0 + -3
x = 0 + -3

Combine like terms: 0 + -3 = -3
x = -3

Simplifying
x = -3
Solution
x = {-6, -3}

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