140=(x+5)(2x+4)

Solution for 140=(x+5)(2x+4) equation:

Simplifying
140 = (x + 5)(2x + 4)

Reorder the terms:
140 = (5 + x)(2x + 4)

Reorder the terms:
140 = (5 + x)(4 + 2x)

Multiply (5 + x) * (4 + 2x)
140 = (5(4 + 2x) + x(4 + 2x))
140 = ((4 * 5 + 2x * 5) + x(4 + 2x))
140 = ((20 + 10x) + x(4 + 2x))
140 = (20 + 10x + (4 * x + 2x * x))
140 = (20 + 10x + (4x + 2x2))

Combine like terms: 10x + 4x = 14x
140 = (20 + 14x + 2x2)

Solving
140 = 20 + 14x + 2x2

Solving for variable 'x'.

Combine like terms: 140 + -20 = 120
120 + -14x + -2x2 = 20 + 14x + 2x2 + -20 + -14x + -2x2

Reorder the terms:
120 + -14x + -2x2 = 20 + -20 + 14x + -14x + 2x2 + -2x2

Combine like terms: 20 + -20 = 0
120 + -14x + -2x2 = 0 + 14x + -14x + 2x2 + -2x2
120 + -14x + -2x2 = 14x + -14x + 2x2 + -2x2

Combine like terms: 14x + -14x = 0
120 + -14x + -2x2 = 0 + 2x2 + -2x2
120 + -14x + -2x2 = 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
120 + -14x + -2x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(60 + -7x + -1x2) = 0

Factor a trinomial.
2((5 + -1x)(12 + x)) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(5 + -1x)' equal to zero and attempt to solve:

Simplifying
5 + -1x = 0

Solving
5 + -1x = 0

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

Add '-5' to each side of the equation.
5 + -5 + -1x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1x = 0 + -5
-1x = 0 + -5

Combine like terms: 0 + -5 = -5
-1x = -5

Divide each side by '-1'.
x = 5

Simplifying
x = 5
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 = {5, -12}