(4x-3)(4x-3)=0

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Solution for (4x-3)(4x-3)=0 equation:


Simplifying
(4x + -3)(4x + -3) = 0

Reorder the terms:
(-3 + 4x)(4x + -3) = 0

Reorder the terms:
(-3 + 4x)(-3 + 4x) = 0

Multiply (-3 + 4x) * (-3 + 4x)
(-3(-3 + 4x) + 4x * (-3 + 4x)) = 0
((-3 * -3 + 4x * -3) + 4x * (-3 + 4x)) = 0
((9 + -12x) + 4x * (-3 + 4x)) = 0
(9 + -12x + (-3 * 4x + 4x * 4x)) = 0
(9 + -12x + (-12x + 16x2)) = 0

Combine like terms: -12x + -12x = -24x
(9 + -24x + 16x2) = 0

Solving
9 + -24x + 16x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(3 + -4x)(3 + -4x) = 0

Subproblem 1

Set the factor '(3 + -4x)' equal to zero and attempt to solve: Simplifying 3 + -4x = 0 Solving 3 + -4x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -4x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -4x = 0 + -3 -4x = 0 + -3 Combine like terms: 0 + -3 = -3 -4x = -3 Divide each side by '-4'. x = 0.75 Simplifying x = 0.75

Subproblem 2

Set the factor '(3 + -4x)' equal to zero and attempt to solve: Simplifying 3 + -4x = 0 Solving 3 + -4x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -4x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -4x = 0 + -3 -4x = 0 + -3 Combine like terms: 0 + -3 = -3 -4x = -3 Divide each side by '-4'. x = 0.75 Simplifying x = 0.75

Solution

x = {0.75, 0.75}

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