(x+4)x=140

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

Simplifying
(x + 4) * x = 140

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

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

Solving
4x + x2 = 140

Solving for variable 'x'.

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

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

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

Subproblem 1
Set the factor '(-14 + -1x)' equal to zero and attempt to solve:

Simplifying
-14 + -1x = 0

Solving
-14 + -1x = 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 + -1x = 0 + 14

Combine like terms: -14 + 14 = 0
0 + -1x = 0 + 14
-1x = 0 + 14

Combine like terms: 0 + 14 = 14
-1x = 14

Divide each side by '-1'.
x = -14

Simplifying
x = -14
Subproblem 2
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
Solution
x = {-14, 10}