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

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


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

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

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

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

Combine like terms: -20x + -20x = -40x
(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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