x(5x+9)=72

Solution for x(5x+9)=72 equation:

Simplifying
x(5x + 9) = 72

Reorder the terms:
x(9 + 5x) = 72
(9 * x + 5x * x) = 72
(9x + 5x2) = 72

Solving
9x + 5x2 = 72

Solving for variable 'x'.

Reorder the terms:
-72 + 9x + 5x2 = 72 + -72

Combine like terms: 72 + -72 = 0
-72 + 9x + 5x2 = 0

Factor a trinomial.
(-24 + -5x)(3 + -1x) = 0

Subproblem 1
Set the factor '(-24 + -5x)' equal to zero and attempt to solve:

Simplifying
-24 + -5x = 0

Solving
-24 + -5x = 0

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

Add '24' to each side of the equation.
-24 + 24 + -5x = 0 + 24

Combine like terms: -24 + 24 = 0
0 + -5x = 0 + 24
-5x = 0 + 24

Combine like terms: 0 + 24 = 24
-5x = 24

Divide each side by '-5'.
x = -4.8

Simplifying
x = -4.8
Subproblem 2
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
Solution
x = {-4.8, 3}