-(4x-5)(-4x+5)=0

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Solution for -(4x-5)(-4x+5)=0 equation: 


Simplifying
-1(4x + -5)(-4x + 5) = 0

Reorder the terms:
-1(-5 + 4x)(-4x + 5) = 0

Reorder the terms:
-1(-5 + 4x)(5 + -4x) = 0

Multiply (-5 + 4x) * (5 + -4x)
-1(-5(5 + -4x) + 4x * (5 + -4x)) = 0
-1((5 * -5 + -4x * -5) + 4x * (5 + -4x)) = 0
-1((-25 + 20x) + 4x * (5 + -4x)) = 0
-1(-25 + 20x + (5 * 4x + -4x * 4x)) = 0
-1(-25 + 20x + (20x + -16x2)) = 0

Combine like terms: 20x + 20x = 40x
-1(-25 + 40x + -16x2) = 0
(-25 * -1 + 40x * -1 + -16x2 * -1) = 0
(25 + -40x + 16x2) = 0

Solving
25 + -40x + 16x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(5 + -4x)(5 + -4x) = 0


Subproblem 1
Set the factor '(5 + -4x)' equal to zero and attempt to solve:

Simplifying
5 + -4x = 0

Solving
5 + -4x = 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 + -4x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -4x = 0 + -5
-4x = 0 + -5

Combine like terms: 0 + -5 = -5
-4x = -5

Divide each side by '-4'.
x = 1.25

Simplifying
x = 1.25

Subproblem 2
Set the factor '(5 + -4x)' equal to zero and attempt to solve:

Simplifying
5 + -4x = 0

Solving
5 + -4x = 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 + -4x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -4x = 0 + -5
-4x = 0 + -5

Combine like terms: 0 + -5 = -5
-4x = -5

Divide each side by '-4'.
x = 1.25

Simplifying
x = 1.25
Solution
x = {1.25, 1.25}

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