2x^2+60x=3600

Solution for 2x^2+60x=3600 equation:

Simplifying
2x2 + 60x = 3600

Reorder the terms:
60x + 2x2 = 3600

Solving
60x + 2x2 = 3600

Solving for variable 'x'.

Reorder the terms:
-3600 + 60x + 2x2 = 3600 + -3600

Combine like terms: 3600 + -3600 = 0
-3600 + 60x + 2x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-1800 + 30x + x2) = 0

Factor a trinomial.
2((-60 + -1x)(30 + -1x)) = 0

Ignore the factor 2.
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 '(30 + -1x)' equal to zero and attempt to solve:

Simplifying
30 + -1x = 0

Solving
30 + -1x = 0

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

Add '-30' to each side of the equation.
30 + -30 + -1x = 0 + -30

Combine like terms: 30 + -30 = 0
0 + -1x = 0 + -30
-1x = 0 + -30

Combine like terms: 0 + -30 = -30
-1x = -30

Divide each side by '-1'.
x = 30

Simplifying
x = 30
Solution
x = {-60, 30}