0=3x^2-24x-99

Solution for 0=3x^2-24x-99 equation:

Simplifying
0 = 3x2 + -24x + -99

Reorder the terms:
0 = -99 + -24x + 3x2

Solving
0 = -99 + -24x + 3x2

Solving for variable 'x'.

Combine like terms: 0 + 99 = 99
99 + 24x + -3x2 = -99 + -24x + 3x2 + 99 + 24x + -3x2

Reorder the terms:
99 + 24x + -3x2 = -99 + 99 + -24x + 24x + 3x2 + -3x2

Combine like terms: -99 + 99 = 0
99 + 24x + -3x2 = 0 + -24x + 24x + 3x2 + -3x2
99 + 24x + -3x2 = -24x + 24x + 3x2 + -3x2

Combine like terms: -24x + 24x = 0
99 + 24x + -3x2 = 0 + 3x2 + -3x2
99 + 24x + -3x2 = 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
99 + 24x + -3x2 = 0

Factor out the Greatest Common Factor (GCF), '3'.
3(33 + 8x + -1x2) = 0

Factor a trinomial.
3((11 + -1x)(3 + x)) = 0

Ignore the factor 3.
Subproblem 1
Set the factor '(11 + -1x)' equal to zero and attempt to solve:

Simplifying
11 + -1x = 0

Solving
11 + -1x = 0

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

Add '-11' to each side of the equation.
11 + -11 + -1x = 0 + -11

Combine like terms: 11 + -11 = 0
0 + -1x = 0 + -11
-1x = 0 + -11

Combine like terms: 0 + -11 = -11
-1x = -11

Divide each side by '-1'.
x = 11

Simplifying
x = 11
Subproblem 2
Set the factor '(3 + x)' equal to zero and attempt to solve:

Simplifying
3 + x = 0

Solving
3 + x = 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 + x = 0 + -3

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

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

Simplifying
x = -3
Solution
x = {11, -3}