140=(x+4)(x)

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

Simplifying
140 = (x + 4)(x)

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

Reorder the terms for easier multiplication:
140 = x(4 + x)
140 = (4 * x + x * x)
140 = (4x + x2)

Solving
140 = 4x + x2

Solving for variable 'x'.

Reorder the terms:
140 + -4x + -1x2 = 4x + -4x + x2 + -1x2

Combine like terms: 4x + -4x = 0
140 + -4x + -1x2 = 0 + x2 + -1x2
140 + -4x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
140 + -4x + -1x2 = 0

Factor a trinomial.
(10 + -1x)(14 + x) = 0

Subproblem 1
Set the factor '(10 + -1x)' equal to zero and attempt to solve:

Simplifying
10 + -1x = 0

Solving
10 + -1x = 0

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

Add '-10' to each side of the equation.
10 + -10 + -1x = 0 + -10

Combine like terms: 10 + -10 = 0
0 + -1x = 0 + -10
-1x = 0 + -10

Combine like terms: 0 + -10 = -10
-1x = -10

Divide each side by '-1'.
x = 10

Simplifying
x = 10
Subproblem 2
Set the factor '(14 + x)' equal to zero and attempt to solve:

Simplifying
14 + x = 0

Solving
14 + x = 0

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

Add '-14' to each side of the equation.
14 + -14 + x = 0 + -14

Combine like terms: 14 + -14 = 0
0 + x = 0 + -14
x = 0 + -14

Combine like terms: 0 + -14 = -14
x = -14

Simplifying
x = -14
Solution
x = {10, -14}