9x^2+33x=60

Solution for 9x^2+33x=60 equation:

Simplifying
9x2 + 33x = 60

Reorder the terms:
33x + 9x2 = 60

Solving
33x + 9x2 = 60

Solving for variable 'x'.

Reorder the terms:
-60 + 33x + 9x2 = 60 + -60

Combine like terms: 60 + -60 = 0
-60 + 33x + 9x2 = 0

Factor out the Greatest Common Factor (GCF), '3'.
3(-20 + 11x + 3x2) = 0

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

Ignore the factor 3.
Subproblem 1
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
Subproblem 2
Set the factor '(4 + -3x)' equal to zero and attempt to solve:

Simplifying
4 + -3x = 0

Solving
4 + -3x = 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 + -3x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -3x = 0 + -4
-3x = 0 + -4

Combine like terms: 0 + -4 = -4
-3x = -4

Divide each side by '-3'.
x = 1.333333333

Simplifying
x = 1.333333333
Solution
x = {-5, 1.333333333}