-2*[(5x-2)*(5x-2)]=

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Solution for -2*[(5x-2)*(5x-2)]= equation: 


Simplifying
-2[(5x + -2)(5x + -2)] = 0

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

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

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

Combine like terms: -10x + -10x = -20x
-2[(4 + -20x + 25x2)] = 0
[4 * -2 + -20x * -2 + 25x2 * -2] = 0
[-8 + 40x + -50x2] = 0

Solving
-8 + 40x + -50x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-4 + 20x + -25x2) = 0

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

Ignore the factor 2.

Subproblem 1
Set the factor '(-2 + 5x)' equal to zero and attempt to solve:

Simplifying
-2 + 5x = 0

Solving
-2 + 5x = 0

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

Add '2' to each side of the equation.
-2 + 2 + 5x = 0 + 2

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

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

Divide each side by '5'.
x = 0.4

Simplifying
x = 0.4

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

Simplifying
2 + -5x = 0

Solving
2 + -5x = 0

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

Add '-2' to each side of the equation.
2 + -2 + -5x = 0 + -2

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

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

Divide each side by '-5'.
x = 0.4

Simplifying
x = 0.4
Solution
x = {0.4, 0.4}

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