(240+x)*(375+x)=130500

Solution for (240+x)*(375+x)=130500 equation:

Simplifying
(240 + x)(375 + x) = 130500

Multiply (240 + x) * (375 + x)
(240(375 + x) + x(375 + x)) = 130500
((375 * 240 + x * 240) + x(375 + x)) = 130500
((90000 + 240x) + x(375 + x)) = 130500
(90000 + 240x + (375 * x + x * x)) = 130500
(90000 + 240x + (375x + x2)) = 130500

Combine like terms: 240x + 375x = 615x
(90000 + 615x + x2) = 130500

Solving
90000 + 615x + x2 = 130500

Solving for variable 'x'.

Reorder the terms:
90000 + -130500 + 615x + x2 = 130500 + -130500

Combine like terms: 90000 + -130500 = -40500
-40500 + 615x + x2 = 130500 + -130500

Combine like terms: 130500 + -130500 = 0
-40500 + 615x + x2 = 0

Factor a trinomial.
(-675 + -1x)(60 + -1x) = 0

Subproblem 1
Set the factor '(-675 + -1x)' equal to zero and attempt to solve:

Simplifying
-675 + -1x = 0

Solving
-675 + -1x = 0

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

Add '675' to each side of the equation.
-675 + 675 + -1x = 0 + 675

Combine like terms: -675 + 675 = 0
0 + -1x = 0 + 675
-1x = 0 + 675

Combine like terms: 0 + 675 = 675
-1x = 675

Divide each side by '-1'.
x = -675

Simplifying
x = -675
Subproblem 2
Set the factor '(60 + -1x)' equal to zero and attempt to solve:

Simplifying
60 + -1x = 0

Solving
60 + -1x = 0

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

Add '-60' to each side of the equation.
60 + -60 + -1x = 0 + -60

Combine like terms: 60 + -60 = 0
0 + -1x = 0 + -60
-1x = 0 + -60

Combine like terms: 0 + -60 = -60
-1x = -60

Divide each side by '-1'.
x = 60

Simplifying
x = 60
Solution
x = {-675, 60}