(5x-2)(5x-2)-16=0

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Solution for (5x-2)(5x-2)-16=0 equation: 


Simplifying
(5x + -2)(5x + -2) + -16 = 0

Reorder the terms:
(-2 + 5x)(5x + -2) + -16 = 0

Reorder the terms:
(-2 + 5x)(-2 + 5x) + -16 = 0

Multiply (-2 + 5x) * (-2 + 5x)
(-2(-2 + 5x) + 5x * (-2 + 5x)) + -16 = 0
((-2 * -2 + 5x * -2) + 5x * (-2 + 5x)) + -16 = 0
((4 + -10x) + 5x * (-2 + 5x)) + -16 = 0
(4 + -10x + (-2 * 5x + 5x * 5x)) + -16 = 0
(4 + -10x + (-10x + 25x2)) + -16 = 0

Combine like terms: -10x + -10x = -20x
(4 + -20x + 25x2) + -16 = 0

Reorder the terms:
4 + -16 + -20x + 25x2 = 0

Combine like terms: 4 + -16 = -12
-12 + -20x + 25x2 = 0

Solving
-12 + -20x + 25x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-2 + -5x)(6 + -5x) = 0


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 '(6 + -5x)' equal to zero and attempt to solve:

Simplifying
6 + -5x = 0

Solving
6 + -5x = 0

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

Add '-6' to each side of the equation.
6 + -6 + -5x = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -5x = 0 + -6
-5x = 0 + -6

Combine like terms: 0 + -6 = -6
-5x = -6

Divide each side by '-5'.
x = 1.2

Simplifying
x = 1.2
Solution
x = {-0.4, 1.2}

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