0=2x^2+27x-99

Solution for 0=2x^2+27x-99 equation:

Simplifying
0 = 2x2 + 27x + -99

Reorder the terms:
0 = -99 + 27x + 2x2

Solving
0 = -99 + 27x + 2x2

Solving for variable 'x'.

Combine like terms: 0 + 99 = 99
99 + -27x + -2x2 = -99 + 27x + 2x2 + 99 + -27x + -2x2

Reorder the terms:
99 + -27x + -2x2 = -99 + 99 + 27x + -27x + 2x2 + -2x2

Combine like terms: -99 + 99 = 0
99 + -27x + -2x2 = 0 + 27x + -27x + 2x2 + -2x2
99 + -27x + -2x2 = 27x + -27x + 2x2 + -2x2

Combine like terms: 27x + -27x = 0
99 + -27x + -2x2 = 0 + 2x2 + -2x2
99 + -27x + -2x2 = 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
99 + -27x + -2x2 = 0

Factor a trinomial.
(3 + -1x)(33 + 2x) = 0

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

Simplifying
3 + -1x = 0

Solving
3 + -1x = 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 + -1x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1x = 0 + -3
-1x = 0 + -3

Combine like terms: 0 + -3 = -3
-1x = -3

Divide each side by '-1'.
x = 3

Simplifying
x = 3
Subproblem 2
Set the factor '(33 + 2x)' equal to zero and attempt to solve:

Simplifying
33 + 2x = 0

Solving
33 + 2x = 0

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

Add '-33' to each side of the equation.
33 + -33 + 2x = 0 + -33

Combine like terms: 33 + -33 = 0
0 + 2x = 0 + -33
2x = 0 + -33

Combine like terms: 0 + -33 = -33
2x = -33

Divide each side by '2'.
x = -16.5

Simplifying
x = -16.5
Solution
x = {3, -16.5}