(2x-1)(2x-1)=64

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Solution for (2x-1)(2x-1)=64 equation: 


Simplifying
(2x + -1)(2x + -1) = 64

Reorder the terms:
(-1 + 2x)(2x + -1) = 64

Reorder the terms:
(-1 + 2x)(-1 + 2x) = 64

Multiply (-1 + 2x) * (-1 + 2x)
(-1(-1 + 2x) + 2x * (-1 + 2x)) = 64
((-1 * -1 + 2x * -1) + 2x * (-1 + 2x)) = 64
((1 + -2x) + 2x * (-1 + 2x)) = 64
(1 + -2x + (-1 * 2x + 2x * 2x)) = 64
(1 + -2x + (-2x + 4x2)) = 64

Combine like terms: -2x + -2x = -4x
(1 + -4x + 4x2) = 64

Solving
1 + -4x + 4x2 = 64

Solving for variable 'x'.

Reorder the terms:
1 + -64 + -4x + 4x2 = 64 + -64

Combine like terms: 1 + -64 = -63
-63 + -4x + 4x2 = 64 + -64

Combine like terms: 64 + -64 = 0
-63 + -4x + 4x2 = 0

Factor a trinomial.
(-7 + -2x)(9 + -2x) = 0


Subproblem 1
Set the factor '(-7 + -2x)' equal to zero and attempt to solve:

Simplifying
-7 + -2x = 0

Solving
-7 + -2x = 0

Move all terms containing x to the left, all other terms to the right.

Add '7' to each side of the equation.
-7 + 7 + -2x = 0 + 7

Combine like terms: -7 + 7 = 0
0 + -2x = 0 + 7
-2x = 0 + 7

Combine like terms: 0 + 7 = 7
-2x = 7

Divide each side by '-2'.
x = -3.5

Simplifying
x = -3.5

Subproblem 2
Set the factor '(9 + -2x)' equal to zero and attempt to solve:

Simplifying
9 + -2x = 0

Solving
9 + -2x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-9' to each side of the equation.
9 + -9 + -2x = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -2x = 0 + -9
-2x = 0 + -9

Combine like terms: 0 + -9 = -9
-2x = -9

Divide each side by '-2'.
x = 4.5

Simplifying
x = 4.5
Solution
x = {-3.5, 4.5}

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