12x^2-292x+1320=0

Solution for 12x^2-292x+1320=0 equation:

Simplifying
12x2 + -292x + 1320 = 0

Reorder the terms:
1320 + -292x + 12x2 = 0

Solving
1320 + -292x + 12x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4'.
4(330 + -73x + 3x2) = 0

Factor a trinomial.
4((6 + -1x)(55 + -3x)) = 0

Ignore the factor 4.
Subproblem 1
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
Subproblem 2
Set the factor '(55 + -3x)' equal to zero and attempt to solve:

Simplifying
55 + -3x = 0

Solving
55 + -3x = 0

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

Add '-55' to each side of the equation.
55 + -55 + -3x = 0 + -55

Combine like terms: 55 + -55 = 0
0 + -3x = 0 + -55
-3x = 0 + -55

Combine like terms: 0 + -55 = -55
-3x = -55

Divide each side by '-3'.
x = 18.33333333

Simplifying
x = 18.33333333
Solution
x = {6, 18.33333333}