(2a-1)(2a-1)=

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


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

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

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

Multiply (-1 + 2a) * (-1 + 2a)
(-1(-1 + 2a) + 2a * (-1 + 2a)) = 0
((-1 * -1 + 2a * -1) + 2a * (-1 + 2a)) = 0
((1 + -2a) + 2a * (-1 + 2a)) = 0
(1 + -2a + (-1 * 2a + 2a * 2a)) = 0
(1 + -2a + (-2a + 4a2)) = 0

Combine like terms: -2a + -2a = -4a
(1 + -4a + 4a2) = 0

Solving
1 + -4a + 4a2 = 0

Solving for variable 'a'.

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

Subproblem 1

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

Subproblem 2

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

Solution

a = {0.5, 0.5}

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