x^2+615x=40500

Solution for x^2+615x=40500 equation:

Simplifying
x2 + 615x = 40500

Reorder the terms:
615x + x2 = 40500

Solving
615x + x2 = 40500

Solving for variable 'x'.

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

Combine like terms: 40500 + -40500 = 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}