72=(4x-23)*x

Solution for 72=(4x-23)*x equation:

Simplifying
72 = (4x + -23) * x

Reorder the terms:
72 = (-23 + 4x) * x

Reorder the terms for easier multiplication:
72 = x(-23 + 4x)
72 = (-23 * x + 4x * x)
72 = (-23x + 4x2)

Solving
72 = -23x + 4x2

Solving for variable 'x'.

Reorder the terms:
72 + 23x + -4x2 = -23x + 23x + 4x2 + -4x2

Combine like terms: -23x + 23x = 0
72 + 23x + -4x2 = 0 + 4x2 + -4x2
72 + 23x + -4x2 = 4x2 + -4x2

Combine like terms: 4x2 + -4x2 = 0
72 + 23x + -4x2 = 0

Factor a trinomial.
(8 + -1x)(9 + 4x) = 0

Subproblem 1
Set the factor '(8 + -1x)' equal to zero and attempt to solve:

Simplifying
8 + -1x = 0

Solving
8 + -1x = 0

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

Add '-8' to each side of the equation.
8 + -8 + -1x = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -1x = 0 + -8
-1x = 0 + -8

Combine like terms: 0 + -8 = -8
-1x = -8

Divide each side by '-1'.
x = 8

Simplifying
x = 8
Subproblem 2
Set the factor '(9 + 4x)' equal to zero and attempt to solve:

Simplifying
9 + 4x = 0

Solving
9 + 4x = 0

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

Add '-9' to each side of the equation.
9 + -9 + 4x = 0 + -9

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

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

Divide each side by '4'.
x = -2.25

Simplifying
x = -2.25
Solution
x = {8, -2.25}