x(5x-9)=-4

Solution for x(5x-9)=-4 equation:

Simplifying
x(5x + -9) = -4

Reorder the terms:
x(-9 + 5x) = -4
(-9 * x + 5x * x) = -4
(-9x + 5x2) = -4

Solving
-9x + 5x2 = -4

Solving for variable 'x'.

Reorder the terms:
4 + -9x + 5x2 = -4 + 4

Combine like terms: -4 + 4 = 0
4 + -9x + 5x2 = 0

Factor a trinomial.
(4 + -5x)(1 + -1x) = 0

Subproblem 1
Set the factor '(4 + -5x)' equal to zero and attempt to solve:

Simplifying
4 + -5x = 0

Solving
4 + -5x = 0

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

Add '-4' to each side of the equation.
4 + -4 + -5x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -5x = 0 + -4
-5x = 0 + -4

Combine like terms: 0 + -4 = -4
-5x = -4

Divide each side by '-5'.
x = 0.8

Simplifying
x = 0.8
Subproblem 2
Set the factor '(1 + -1x)' equal to zero and attempt to solve:

Simplifying
1 + -1x = 0

Solving
1 + -1x = 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 + -1x = 0 + -1

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

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

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

Simplifying
x = 1
Solution
x = {0.8, 1}