5x^2=-18-33x

Solution for 5x^2=-18-33x equation:

Simplifying
5x2 = -18 + -33x

Solving
5x2 = -18 + -33x

Solving for variable 'x'.

Reorder the terms:
18 + 33x + 5x2 = -18 + -33x + 18 + 33x

Reorder the terms:
18 + 33x + 5x2 = -18 + 18 + -33x + 33x

Combine like terms: -18 + 18 = 0
18 + 33x + 5x2 = 0 + -33x + 33x
18 + 33x + 5x2 = -33x + 33x

Combine like terms: -33x + 33x = 0
18 + 33x + 5x2 = 0

Factor a trinomial.
(6 + x)(3 + 5x) = 0

Subproblem 1
Set the factor '(6 + x)' equal to zero and attempt to solve:

Simplifying
6 + x = 0

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

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

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

Simplifying
x = -6
Subproblem 2
Set the factor '(3 + 5x)' equal to zero and attempt to solve:

Simplifying
3 + 5x = 0

Solving
3 + 5x = 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 + 5x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 5x = 0 + -3
5x = 0 + -3

Combine like terms: 0 + -3 = -3
5x = -3

Divide each side by '5'.
x = -0.6

Simplifying
x = -0.6
Solution
x = {-6, -0.6}