-12x^2+282x-1110=0

Solution for -12x^2+282x-1110=0 equation:

Simplifying
-12x2 + 282x + -1110 = 0

Reorder the terms:
-1110 + 282x + -12x2 = 0

Solving
-1110 + 282x + -12x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '6'.
6(-185 + 47x + -2x2) = 0

Factor a trinomial.
6((-37 + 2x)(5 + -1x)) = 0

Ignore the factor 6.
Subproblem 1
Set the factor '(-37 + 2x)' equal to zero and attempt to solve:

Simplifying
-37 + 2x = 0

Solving
-37 + 2x = 0

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

Add '37' to each side of the equation.
-37 + 37 + 2x = 0 + 37

Combine like terms: -37 + 37 = 0
0 + 2x = 0 + 37
2x = 0 + 37

Combine like terms: 0 + 37 = 37
2x = 37

Divide each side by '2'.
x = 18.5

Simplifying
x = 18.5
Subproblem 2
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
Solution
x = {18.5, 5}