9x=-18+5x^2

Solution for 9x=-18+5x^2 equation:

Simplifying
9x = -18 + 5x2

Solving
9x = -18 + 5x2

Solving for variable 'x'.

Reorder the terms:
18 + 9x + -5x2 = -18 + 5x2 + 18 + -5x2

Reorder the terms:
18 + 9x + -5x2 = -18 + 18 + 5x2 + -5x2

Combine like terms: -18 + 18 = 0
18 + 9x + -5x2 = 0 + 5x2 + -5x2
18 + 9x + -5x2 = 5x2 + -5x2

Combine like terms: 5x2 + -5x2 = 0
18 + 9x + -5x2 = 0

Factor a trinomial.
(3 + -1x)(6 + 5x) = 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 '(6 + 5x)' equal to zero and attempt to solve:

Simplifying
6 + 5x = 0

Solving
6 + 5x = 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 + 5x = 0 + -6

Combine like terms: 6 + -6 = 0
0 + 5x = 0 + -6
5x = 0 + -6

Combine like terms: 0 + -6 = -6
5x = -6

Divide each side by '5'.
x = -1.2

Simplifying
x = -1.2
Solution
x = {3, -1.2}