0=2x^2-9x-18

Solution for 0=2x^2-9x-18 equation:

Simplifying
0 = 2x2 + -9x + -18

Reorder the terms:
0 = -18 + -9x + 2x2

Solving
0 = -18 + -9x + 2x2

Solving for variable 'x'.

Combine like terms: 0 + 18 = 18
18 + 9x + -2x2 = -18 + -9x + 2x2 + 18 + 9x + -2x2

Reorder the terms:
18 + 9x + -2x2 = -18 + 18 + -9x + 9x + 2x2 + -2x2

Combine like terms: -18 + 18 = 0
18 + 9x + -2x2 = 0 + -9x + 9x + 2x2 + -2x2
18 + 9x + -2x2 = -9x + 9x + 2x2 + -2x2

Combine like terms: -9x + 9x = 0
18 + 9x + -2x2 = 0 + 2x2 + -2x2
18 + 9x + -2x2 = 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
18 + 9x + -2x2 = 0

Factor a trinomial.
(6 + -1x)(3 + 2x) = 0

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 '(3 + 2x)' equal to zero and attempt to solve:

Simplifying
3 + 2x = 0

Solving
3 + 2x = 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 + 2x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 2x = 0 + -3
2x = 0 + -3

Combine like terms: 0 + -3 = -3
2x = -3

Divide each side by '2'.
x = -1.5

Simplifying
x = -1.5
Solution
x = {6, -1.5}