(10x-25)(2x-5)=

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Solution for (10x-25)(2x-5)= equation: 


Simplifying
(10x + -25)(2x + -5) = 0

Reorder the terms:
(-25 + 10x)(2x + -5) = 0

Reorder the terms:
(-25 + 10x)(-5 + 2x) = 0

Multiply (-25 + 10x) * (-5 + 2x)
(-25(-5 + 2x) + 10x * (-5 + 2x)) = 0
((-5 * -25 + 2x * -25) + 10x * (-5 + 2x)) = 0
((125 + -50x) + 10x * (-5 + 2x)) = 0
(125 + -50x + (-5 * 10x + 2x * 10x)) = 0
(125 + -50x + (-50x + 20x2)) = 0

Combine like terms: -50x + -50x = -100x
(125 + -100x + 20x2) = 0

Solving
125 + -100x + 20x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '5'.
5(25 + -20x + 4x2) = 0

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

Ignore the factor 5.

Subproblem 1
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 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
Solution
x = {2.5, 2.5}

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