168=(2x+8)(2x+10)

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Solution for 168=(2x+8)(2x+10) equation: 


Simplifying
168 = (2x + 8)(2x + 10)

Reorder the terms:
168 = (8 + 2x)(2x + 10)

Reorder the terms:
168 = (8 + 2x)(10 + 2x)

Multiply (8 + 2x) * (10 + 2x)
168 = (8(10 + 2x) + 2x * (10 + 2x))
168 = ((10 * 8 + 2x * 8) + 2x * (10 + 2x))
168 = ((80 + 16x) + 2x * (10 + 2x))
168 = (80 + 16x + (10 * 2x + 2x * 2x))
168 = (80 + 16x + (20x + 4x2))

Combine like terms: 16x + 20x = 36x
168 = (80 + 36x + 4x2)

Solving
168 = 80 + 36x + 4x2

Solving for variable 'x'.

Combine like terms: 168 + -80 = 88
88 + -36x + -4x2 = 80 + 36x + 4x2 + -80 + -36x + -4x2

Reorder the terms:
88 + -36x + -4x2 = 80 + -80 + 36x + -36x + 4x2 + -4x2

Combine like terms: 80 + -80 = 0
88 + -36x + -4x2 = 0 + 36x + -36x + 4x2 + -4x2
88 + -36x + -4x2 = 36x + -36x + 4x2 + -4x2

Combine like terms: 36x + -36x = 0
88 + -36x + -4x2 = 0 + 4x2 + -4x2
88 + -36x + -4x2 = 4x2 + -4x2

Combine like terms: 4x2 + -4x2 = 0
88 + -36x + -4x2 = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(22 + -9x + -1x2) = 0

Factor a trinomial.
4((2 + -1x)(11 + x)) = 0

Ignore the factor 4.

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 '(11 + x)' equal to zero and attempt to solve:

Simplifying
11 + x = 0

Solving
11 + x = 0

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

Add '-11' to each side of the equation.
11 + -11 + x = 0 + -11

Combine like terms: 11 + -11 = 0
0 + x = 0 + -11
x = 0 + -11

Combine like terms: 0 + -11 = -11
x = -11

Simplifying
x = -11
Solution
x = {2, -11}

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