1x^2+225x=3600

Solution for 1x^2+225x=3600 equation:

Simplifying
1x2 + 225x = 3600

Reorder the terms:
225x + 1x2 = 3600

Solving
225x + 1x2 = 3600

Solving for variable 'x'.

Reorder the terms:
-3600 + 225x + 1x2 = 3600 + -3600

Combine like terms: 3600 + -3600 = 0
-3600 + 225x + 1x2 = 0

Factor a trinomial.
(-240 + -1x)(15 + -1x) = 0

Subproblem 1
Set the factor '(-240 + -1x)' equal to zero and attempt to solve:

Simplifying
-240 + -1x = 0

Solving
-240 + -1x = 0

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

Add '240' to each side of the equation.
-240 + 240 + -1x = 0 + 240

Combine like terms: -240 + 240 = 0
0 + -1x = 0 + 240
-1x = 0 + 240

Combine like terms: 0 + 240 = 240
-1x = 240

Divide each side by '-1'.
x = -240

Simplifying
x = -240
Subproblem 2
Set the factor '(15 + -1x)' equal to zero and attempt to solve:

Simplifying
15 + -1x = 0

Solving
15 + -1x = 0

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

Add '-15' to each side of the equation.
15 + -15 + -1x = 0 + -15

Combine like terms: 15 + -15 = 0
0 + -1x = 0 + -15
-1x = 0 + -15

Combine like terms: 0 + -15 = -15
-1x = -15

Divide each side by '-1'.
x = 15

Simplifying
x = 15
Solution
x = {-240, 15}