5x^2+8x-165=0

Solution for 5x^2+8x-165=0 equation:

Simplifying
5x2 + 8x + -165 = 0

Reorder the terms:
-165 + 8x + 5x2 = 0

Solving
-165 + 8x + 5x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-33 + -5x)(5 + -1x) = 0

Subproblem 1
Set the factor '(-33 + -5x)' equal to zero and attempt to solve:

Simplifying
-33 + -5x = 0

Solving
-33 + -5x = 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 + -5x = 0 + 33

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

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

Divide each side by '-5'.
x = -6.6

Simplifying
x = -6.6
Subproblem 2
Set the factor '(5 + -1x)' equal to zero and attempt to solve:

Simplifying
5 + -1x = 0

Solving
5 + -1x = 0

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

Add '-5' to each side of the equation.
5 + -5 + -1x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1x = 0 + -5
-1x = 0 + -5

Combine like terms: 0 + -5 = -5
-1x = -5

Divide each side by '-1'.
x = 5

Simplifying
x = 5
Solution
x = {-6.6, 5}