(5x-4)(5x-4)=16

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Solution for (5x-4)(5x-4)=16 equation: 


Simplifying
(5x + -4)(5x + -4) = 16

Reorder the terms:
(-4 + 5x)(5x + -4) = 16

Reorder the terms:
(-4 + 5x)(-4 + 5x) = 16

Multiply (-4 + 5x) * (-4 + 5x)
(-4(-4 + 5x) + 5x * (-4 + 5x)) = 16
((-4 * -4 + 5x * -4) + 5x * (-4 + 5x)) = 16
((16 + -20x) + 5x * (-4 + 5x)) = 16
(16 + -20x + (-4 * 5x + 5x * 5x)) = 16
(16 + -20x + (-20x + 25x2)) = 16

Combine like terms: -20x + -20x = -40x
(16 + -40x + 25x2) = 16

Add '-16' to each side of the equation.
16 + -40x + -16 + 25x2 = 16 + -16

Reorder the terms:
16 + -16 + -40x + 25x2 = 16 + -16

Combine like terms: 16 + -16 = 0
0 + -40x + 25x2 = 16 + -16
-40x + 25x2 = 16 + -16

Combine like terms: 16 + -16 = 0
-40x + 25x2 = 0

Solving
-40x + 25x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '5x'.
5x(-8 + 5x) = 0

Ignore the factor 5.

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 '(-8 + 5x)' equal to zero and attempt to solve:

Simplifying
-8 + 5x = 0

Solving
-8 + 5x = 0

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

Add '8' to each side of the equation.
-8 + 8 + 5x = 0 + 8

Combine like terms: -8 + 8 = 0
0 + 5x = 0 + 8
5x = 0 + 8

Combine like terms: 0 + 8 = 8
5x = 8

Divide each side by '5'.
x = 1.6

Simplifying
x = 1.6
Solution
x = {0, 1.6}

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