3x^2+13x-66=0

Solution for 3x^2+13x-66=0 equation:

Simplifying
3x2 + 13x + -66 = 0

Reorder the terms:
-66 + 13x + 3x2 = 0

Solving
-66 + 13x + 3x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-22 + -3x)(3 + -1x) = 0

Subproblem 1
Set the factor '(-22 + -3x)' equal to zero and attempt to solve:

Simplifying
-22 + -3x = 0

Solving
-22 + -3x = 0

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

Add '22' to each side of the equation.
-22 + 22 + -3x = 0 + 22

Combine like terms: -22 + 22 = 0
0 + -3x = 0 + 22
-3x = 0 + 22

Combine like terms: 0 + 22 = 22
-3x = 22

Divide each side by '-3'.
x = -7.333333333

Simplifying
x = -7.333333333
Subproblem 2
Set the factor '(3 + -1x)' equal to zero and attempt to solve:

Simplifying
3 + -1x = 0

Solving
3 + -1x = 0

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

Add '-3' to each side of the equation.
3 + -3 + -1x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1x = 0 + -3
-1x = 0 + -3

Combine like terms: 0 + -3 = -3
-1x = -3

Divide each side by '-1'.
x = 3

Simplifying
x = 3
Solution
x = {-7.333333333, 3}