140=4x(x+2)

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

Simplifying
140 = 4x(x + 2)

Reorder the terms:
140 = 4x(2 + x)
140 = (2 * 4x + x * 4x)
140 = (8x + 4x2)

Solving
140 = 8x + 4x2

Solving for variable 'x'.

Reorder the terms:
140 + -8x + -4x2 = 8x + -8x + 4x2 + -4x2

Combine like terms: 8x + -8x = 0
140 + -8x + -4x2 = 0 + 4x2 + -4x2
140 + -8x + -4x2 = 4x2 + -4x2

Combine like terms: 4x2 + -4x2 = 0
140 + -8x + -4x2 = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(35 + -2x + -1x2) = 0

Factor a trinomial.
4((5 + -1x)(7 + x)) = 0

Ignore the factor 4.
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 '(7 + x)' equal to zero and attempt to solve:

Simplifying
7 + x = 0

Solving
7 + x = 0

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

Add '-7' to each side of the equation.
7 + -7 + x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + x = 0 + -7
x = 0 + -7

Combine like terms: 0 + -7 = -7
x = -7

Simplifying
x = -7
Solution
x = {5, -7}