3x^2+21x=132

Solution for 3x^2+21x=132 equation:

Simplifying
3x2 + 21x = 132

Reorder the terms:
21x + 3x2 = 132

Solving
21x + 3x2 = 132

Solving for variable 'x'.

Reorder the terms:
-132 + 21x + 3x2 = 132 + -132

Combine like terms: 132 + -132 = 0
-132 + 21x + 3x2 = 0

Factor out the Greatest Common Factor (GCF), '3'.
3(-44 + 7x + x2) = 0

Factor a trinomial.
3((-11 + -1x)(4 + -1x)) = 0

Ignore the factor 3.
Subproblem 1
Set the factor '(-11 + -1x)' equal to zero and attempt to solve:

Simplifying
-11 + -1x = 0

Solving
-11 + -1x = 0

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

Add '11' to each side of the equation.
-11 + 11 + -1x = 0 + 11

Combine like terms: -11 + 11 = 0
0 + -1x = 0 + 11
-1x = 0 + 11

Combine like terms: 0 + 11 = 11
-1x = 11

Divide each side by '-1'.
x = -11

Simplifying
x = -11
Subproblem 2
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
Solution
x = {-11, 4}