168=(2x+10)(2x+12)

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Solution for 168=(2x+10)(2x+12) equation: 


Simplifying
168 = (2x + 10)(2x + 12)

Reorder the terms:
168 = (10 + 2x)(2x + 12)

Reorder the terms:
168 = (10 + 2x)(12 + 2x)

Multiply (10 + 2x) * (12 + 2x)
168 = (10(12 + 2x) + 2x * (12 + 2x))
168 = ((12 * 10 + 2x * 10) + 2x * (12 + 2x))
168 = ((120 + 20x) + 2x * (12 + 2x))
168 = (120 + 20x + (12 * 2x + 2x * 2x))
168 = (120 + 20x + (24x + 4x2))

Combine like terms: 20x + 24x = 44x
168 = (120 + 44x + 4x2)

Solving
168 = 120 + 44x + 4x2

Solving for variable 'x'.

Combine like terms: 168 + -120 = 48
48 + -44x + -4x2 = 120 + 44x + 4x2 + -120 + -44x + -4x2

Reorder the terms:
48 + -44x + -4x2 = 120 + -120 + 44x + -44x + 4x2 + -4x2

Combine like terms: 120 + -120 = 0
48 + -44x + -4x2 = 0 + 44x + -44x + 4x2 + -4x2
48 + -44x + -4x2 = 44x + -44x + 4x2 + -4x2

Combine like terms: 44x + -44x = 0
48 + -44x + -4x2 = 0 + 4x2 + -4x2
48 + -44x + -4x2 = 4x2 + -4x2

Combine like terms: 4x2 + -4x2 = 0
48 + -44x + -4x2 = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(12 + -11x + -1x2) = 0

Factor a trinomial.
4((1 + -1x)(12 + x)) = 0

Ignore the factor 4.

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

Simplifying
12 + x = 0

Solving
12 + x = 0

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

Add '-12' to each side of the equation.
12 + -12 + x = 0 + -12

Combine like terms: 12 + -12 = 0
0 + x = 0 + -12
x = 0 + -12

Combine like terms: 0 + -12 = -12
x = -12

Simplifying
x = -12
Solution
x = {1, -12}

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