33x^2+132x-4620=0

Solution for 33x^2+132x-4620=0 equation:

Simplifying
33x2 + 132x + -4620 = 0

Reorder the terms:
-4620 + 132x + 33x2 = 0

Solving
-4620 + 132x + 33x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '33'.
33(-140 + 4x + x2) = 0

Factor a trinomial.
33((-14 + -1x)(10 + -1x)) = 0

Ignore the factor 33.
Subproblem 1
Set the factor '(-14 + -1x)' equal to zero and attempt to solve:

Simplifying
-14 + -1x = 0

Solving
-14 + -1x = 0

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

Add '14' to each side of the equation.
-14 + 14 + -1x = 0 + 14

Combine like terms: -14 + 14 = 0
0 + -1x = 0 + 14
-1x = 0 + 14

Combine like terms: 0 + 14 = 14
-1x = 14

Divide each side by '-1'.
x = -14

Simplifying
x = -14
Subproblem 2
Set the factor '(10 + -1x)' equal to zero and attempt to solve:

Simplifying
10 + -1x = 0

Solving
10 + -1x = 0

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

Add '-10' to each side of the equation.
10 + -10 + -1x = 0 + -10

Combine like terms: 10 + -10 = 0
0 + -1x = 0 + -10
-1x = 0 + -10

Combine like terms: 0 + -10 = -10
-1x = -10

Divide each side by '-1'.
x = 10

Simplifying
x = 10
Solution
x = {-14, 10}