(140+x)(90+x)=0

Solution for (140+x)(90+x)=0 equation:

Simplifying
(140 + x)(90 + x) = 0

Multiply (140 + x) * (90 + x)
(140(90 + x) + x(90 + x)) = 0
((90 * 140 + x * 140) + x(90 + x)) = 0
((12600 + 140x) + x(90 + x)) = 0
(12600 + 140x + (90 * x + x * x)) = 0
(12600 + 140x + (90x + x2)) = 0

Combine like terms: 140x + 90x = 230x
(12600 + 230x + x2) = 0

Solving
12600 + 230x + x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(140 + x)(90 + x) = 0

Subproblem 1
Set the factor '(140 + x)' equal to zero and attempt to solve:

Simplifying
140 + x = 0

Solving
140 + x = 0

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

Add '-140' to each side of the equation.
140 + -140 + x = 0 + -140

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

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

Simplifying
x = -140
Subproblem 2
Set the factor '(90 + x)' equal to zero and attempt to solve:

Simplifying
90 + x = 0

Solving
90 + x = 0

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

Add '-90' to each side of the equation.
90 + -90 + x = 0 + -90

Combine like terms: 90 + -90 = 0
0 + x = 0 + -90
x = 0 + -90

Combine like terms: 0 + -90 = -90
x = -90

Simplifying
x = -90
Solution
x = {-140, -90}