-3(2x-5)(2x-5)=

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Solution for -3(2x-5)(2x-5)= equation: 


Simplifying
-3(2x + -5)(2x + -5) = 0

Reorder the terms:
-3(-5 + 2x)(2x + -5) = 0

Reorder the terms:
-3(-5 + 2x)(-5 + 2x) = 0

Multiply (-5 + 2x) * (-5 + 2x)
-3(-5(-5 + 2x) + 2x * (-5 + 2x)) = 0
-3((-5 * -5 + 2x * -5) + 2x * (-5 + 2x)) = 0
-3((25 + -10x) + 2x * (-5 + 2x)) = 0
-3(25 + -10x + (-5 * 2x + 2x * 2x)) = 0
-3(25 + -10x + (-10x + 4x2)) = 0

Combine like terms: -10x + -10x = -20x
-3(25 + -20x + 4x2) = 0
(25 * -3 + -20x * -3 + 4x2 * -3) = 0
(-75 + 60x + -12x2) = 0

Solving
-75 + 60x + -12x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3'.
3(-25 + 20x + -4x2) = 0

Factor a trinomial.
3((-5 + 2x)(5 + -2x)) = 0

Ignore the factor 3.

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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