x(-2x-9)=-5

Solution for x(-2x-9)=-5 equation:

Simplifying
x(-2x + -9) = -5

Reorder the terms:
x(-9 + -2x) = -5
(-9 * x + -2x * x) = -5
(-9x + -2x2) = -5

Solving
-9x + -2x2 = -5

Solving for variable 'x'.

Reorder the terms:
5 + -9x + -2x2 = -5 + 5

Combine like terms: -5 + 5 = 0
5 + -9x + -2x2 = 0

Factor a trinomial.
(1 + -2x)(5 + x) = 0

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

Simplifying
1 + -2x = 0

Solving
1 + -2x = 0

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

Add '-1' to each side of the equation.
1 + -1 + -2x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -2x = 0 + -1
-2x = 0 + -1

Combine like terms: 0 + -1 = -1
-2x = -1

Divide each side by '-2'.
x = 0.5

Simplifying
x = 0.5
Subproblem 2
Set the factor '(5 + x)' equal to zero and attempt to solve:

Simplifying
5 + x = 0

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

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

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

Simplifying
x = -5
Solution
x = {0.5, -5}