3x^2-3x=60

Solution for 3x^2-3x=60 equation:

Simplifying
3x2 + -3x = 60

Reorder the terms:
-3x + 3x2 = 60

Solving
-3x + 3x2 = 60

Solving for variable 'x'.

Reorder the terms:
-60 + -3x + 3x2 = 60 + -60

Combine like terms: 60 + -60 = 0
-60 + -3x + 3x2 = 0

Factor out the Greatest Common Factor (GCF), '3'.
3(-20 + -1x + x2) = 0

Factor a trinomial.
3((-4 + -1x)(5 + -1x)) = 0

Ignore the factor 3.
Subproblem 1
Set the factor '(-4 + -1x)' equal to zero and attempt to solve:

Simplifying
-4 + -1x = 0

Solving
-4 + -1x = 0

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

Add '4' to each side of the equation.
-4 + 4 + -1x = 0 + 4

Combine like terms: -4 + 4 = 0
0 + -1x = 0 + 4
-1x = 0 + 4

Combine like terms: 0 + 4 = 4
-1x = 4

Divide each side by '-1'.
x = -4

Simplifying
x = -4
Subproblem 2
Set the factor '(5 + -1x)' equal to zero and attempt to solve:

Simplifying
5 + -1x = 0

Solving
5 + -1x = 0

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

Add '-5' to each side of the equation.
5 + -5 + -1x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1x = 0 + -5
-1x = 0 + -5

Combine like terms: 0 + -5 = -5
-1x = -5

Divide each side by '-1'.
x = 5

Simplifying
x = 5
Solution
x = {-4, 5}