-66x+3x^2=-288

Solution for -66x+3x^2=-288 equation:

Simplifying
-66x + 3x2 = -288

Solving
-66x + 3x2 = -288

Solving for variable 'x'.

Reorder the terms:
288 + -66x + 3x2 = -288 + 288

Combine like terms: -288 + 288 = 0
288 + -66x + 3x2 = 0

Factor out the Greatest Common Factor (GCF), '3'.
3(96 + -22x + x2) = 0

Factor a trinomial.
3((6 + -1x)(16 + -1x)) = 0

Ignore the factor 3.
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 '(16 + -1x)' equal to zero and attempt to solve:

Simplifying
16 + -1x = 0

Solving
16 + -1x = 0

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

Add '-16' to each side of the equation.
16 + -16 + -1x = 0 + -16

Combine like terms: 16 + -16 = 0
0 + -1x = 0 + -16
-1x = 0 + -16

Combine like terms: 0 + -16 = -16
-1x = -16

Divide each side by '-1'.
x = 16

Simplifying
x = 16
Solution
x = {6, 16}