140=(2x+2)(x+4)

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Solution for 140=(2x+2)(x+4) equation: 


Simplifying
140 = (2x + 2)(x + 4)

Reorder the terms:
140 = (2 + 2x)(x + 4)

Reorder the terms:
140 = (2 + 2x)(4 + x)

Multiply (2 + 2x) * (4 + x)
140 = (2(4 + x) + 2x * (4 + x))
140 = ((4 * 2 + x * 2) + 2x * (4 + x))
140 = ((8 + 2x) + 2x * (4 + x))
140 = (8 + 2x + (4 * 2x + x * 2x))
140 = (8 + 2x + (8x + 2x2))

Combine like terms: 2x + 8x = 10x
140 = (8 + 10x + 2x2)

Solving
140 = 8 + 10x + 2x2

Solving for variable 'x'.

Combine like terms: 140 + -8 = 132
132 + -10x + -2x2 = 8 + 10x + 2x2 + -8 + -10x + -2x2

Reorder the terms:
132 + -10x + -2x2 = 8 + -8 + 10x + -10x + 2x2 + -2x2

Combine like terms: 8 + -8 = 0
132 + -10x + -2x2 = 0 + 10x + -10x + 2x2 + -2x2
132 + -10x + -2x2 = 10x + -10x + 2x2 + -2x2

Combine like terms: 10x + -10x = 0
132 + -10x + -2x2 = 0 + 2x2 + -2x2
132 + -10x + -2x2 = 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
132 + -10x + -2x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(66 + -5x + -1x2) = 0

Factor a trinomial.
2((6 + -1x)(11 + x)) = 0

Ignore the factor 2.

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 '(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 = {6, -11}

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