(5x-23)(x-5)=0

Solution for (5x-23)(x-5)=0 equation:

Simplifying
(5x + -23)(x + -5) = 0

Reorder the terms:
(-23 + 5x)(x + -5) = 0

Reorder the terms:
(-23 + 5x)(-5 + x) = 0

Multiply (-23 + 5x) * (-5 + x)
(-23(-5 + x) + 5x * (-5 + x)) = 0
((-5 * -23 + x * -23) + 5x * (-5 + x)) = 0
((115 + -23x) + 5x * (-5 + x)) = 0
(115 + -23x + (-5 * 5x + x * 5x)) = 0
(115 + -23x + (-25x + 5x2)) = 0

Combine like terms: -23x + -25x = -48x
(115 + -48x + 5x2) = 0

Solving
115 + -48x + 5x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(23 + -5x)(5 + -1x) = 0

Subproblem 1
Set the factor '(23 + -5x)' equal to zero and attempt to solve:

Simplifying
23 + -5x = 0

Solving
23 + -5x = 0

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

Add '-23' to each side of the equation.
23 + -23 + -5x = 0 + -23

Combine like terms: 23 + -23 = 0
0 + -5x = 0 + -23
-5x = 0 + -23

Combine like terms: 0 + -23 = -23
-5x = -23

Divide each side by '-5'.
x = 4.6

Simplifying
x = 4.6
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 = {4.6, 5}