(2x-1)(2x-1)=

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Solution for (2x-1)(2x-1)= equation:


Simplifying
(2x + -1)(2x + -1) = 0

Reorder the terms:
(-1 + 2x)(2x + -1) = 0

Reorder the terms:
(-1 + 2x)(-1 + 2x) = 0

Multiply (-1 + 2x) * (-1 + 2x)
(-1(-1 + 2x) + 2x * (-1 + 2x)) = 0
((-1 * -1 + 2x * -1) + 2x * (-1 + 2x)) = 0
((1 + -2x) + 2x * (-1 + 2x)) = 0
(1 + -2x + (-1 * 2x + 2x * 2x)) = 0
(1 + -2x + (-2x + 4x2)) = 0

Combine like terms: -2x + -2x = -4x
(1 + -4x + 4x2) = 0

Solving
1 + -4x + 4x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(1 + -2x)(1 + -2x) = 0

Subproblem 1

Set the factor '(1 + -2x)' equal to zero and attempt to solve: Simplifying 1 + -2x = 0 Solving 1 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -2x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -2x = 0 + -1 -2x = 0 + -1 Combine like terms: 0 + -1 = -1 -2x = -1 Divide each side by '-2'. x = 0.5 Simplifying x = 0.5

Subproblem 2

Set the factor '(1 + -2x)' equal to zero and attempt to solve: Simplifying 1 + -2x = 0 Solving 1 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -2x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -2x = 0 + -1 -2x = 0 + -1 Combine like terms: 0 + -1 = -1 -2x = -1 Divide each side by '-2'. x = 0.5 Simplifying x = 0.5

Solution

x = {0.5, 0.5}

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