3x^2+14x-12=180

Solution for 3x^2+14x-12=180 equation:

Simplifying
3x2 + 14x + -12 = 180

Reorder the terms:
-12 + 14x + 3x2 = 180

Solving
-12 + 14x + 3x2 = 180

Solving for variable 'x'.

Reorder the terms:
-12 + -180 + 14x + 3x2 = 180 + -180

Combine like terms: -12 + -180 = -192
-192 + 14x + 3x2 = 180 + -180

Combine like terms: 180 + -180 = 0
-192 + 14x + 3x2 = 0

Factor a trinomial.
(-32 + -3x)(6 + -1x) = 0

Subproblem 1
Set the factor '(-32 + -3x)' equal to zero and attempt to solve:

Simplifying
-32 + -3x = 0

Solving
-32 + -3x = 0

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

Add '32' to each side of the equation.
-32 + 32 + -3x = 0 + 32

Combine like terms: -32 + 32 = 0
0 + -3x = 0 + 32
-3x = 0 + 32

Combine like terms: 0 + 32 = 32
-3x = 32

Divide each side by '-3'.
x = -10.66666667

Simplifying
x = -10.66666667
Subproblem 2
Set the factor '(6 + -1x)' equal to zero and attempt to solve:

Simplifying
6 + -1x = 0

Solving
6 + -1x = 0

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

Add '-6' to each side of the equation.
6 + -6 + -1x = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1x = 0 + -6
-1x = 0 + -6

Combine like terms: 0 + -6 = -6
-1x = -6

Divide each side by '-1'.
x = 6

Simplifying
x = 6
Solution
x = {-10.66666667, 6}