130500=90000+240x+375x+x^2

Solution for 130500=90000+240x+375x+x^2 equation:

Simplifying
130500 = 90000 + 240x + 375x + x2

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

Solving
130500 = 90000 + 615x + x2

Solving for variable 'x'.

Combine like terms: 130500 + -90000 = 40500
40500 + -615x + -1x2 = 90000 + 615x + x2 + -90000 + -615x + -1x2

Reorder the terms:
40500 + -615x + -1x2 = 90000 + -90000 + 615x + -615x + x2 + -1x2

Combine like terms: 90000 + -90000 = 0
40500 + -615x + -1x2 = 0 + 615x + -615x + x2 + -1x2
40500 + -615x + -1x2 = 615x + -615x + x2 + -1x2

Combine like terms: 615x + -615x = 0
40500 + -615x + -1x2 = 0 + x2 + -1x2
40500 + -615x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
40500 + -615x + -1x2 = 0

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

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

Simplifying
675 + x = 0

Solving
675 + x = 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 + x = 0 + -675

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

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

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