(2x-5)x(2x-5)=

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


Simplifying
(2x + -5) * x(2x + -5) = 0

Reorder the terms:
(-5 + 2x) * x(2x + -5) = 0

Reorder the terms:
(-5 + 2x) * x(-5 + 2x) = 0

Reorder the terms for easier multiplication:
x(-5 + 2x)(-5 + 2x) = 0

Multiply (-5 + 2x) * (-5 + 2x)
x(-5(-5 + 2x) + 2x * (-5 + 2x)) = 0
x((-5 * -5 + 2x * -5) + 2x * (-5 + 2x)) = 0
x((25 + -10x) + 2x * (-5 + 2x)) = 0
x(25 + -10x + (-5 * 2x + 2x * 2x)) = 0
x(25 + -10x + (-10x + 4x2)) = 0

Combine like terms: -10x + -10x = -20x
x(25 + -20x + 4x2) = 0
(25 * x + -20x * x + 4x2 * x) = 0
(25x + -20x2 + 4x3) = 0

Solving
25x + -20x2 + 4x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(25 + -20x + 4x2) = 0

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


Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0

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

Simplifying
5 + -2x = 0

Solving
5 + -2x = 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 + -2x = 0 + -5

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

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

Divide each side by '-2'.
x = 2.5

Simplifying
x = 2.5

Subproblem 3
Set the factor '(5 + -2x)' equal to zero and attempt to solve:

Simplifying
5 + -2x = 0

Solving
5 + -2x = 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 + -2x = 0 + -5

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

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

Divide each side by '-2'.
x = 2.5

Simplifying
x = 2.5
Solution
x = {0, 2.5, 2.5}

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