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

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


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

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

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

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

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

Solving
1 + -2x + x2 = 64

Solving for variable 'x'.

Reorder the terms:
1 + -64 + -2x + x2 = 64 + -64

Combine like terms: 1 + -64 = -63
-63 + -2x + x2 = 64 + -64

Combine like terms: 64 + -64 = 0
-63 + -2x + x2 = 0

Factor a trinomial.
(-7 + -1x)(9 + -1x) = 0

Subproblem 1

Set the factor '(-7 + -1x)' equal to zero and attempt to solve: Simplifying -7 + -1x = 0 Solving -7 + -1x = 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 + -1x = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -1x = 0 + 7 -1x = 0 + 7 Combine like terms: 0 + 7 = 7 -1x = 7 Divide each side by '-1'. x = -7 Simplifying x = -7

Subproblem 2

Set the factor '(9 + -1x)' equal to zero and attempt to solve: Simplifying 9 + -1x = 0 Solving 9 + -1x = 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 + -1x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -1x = 0 + -9 -1x = 0 + -9 Combine like terms: 0 + -9 = -9 -1x = -9 Divide each side by '-1'. x = 9 Simplifying x = 9

Solution

x = {-7, 9}

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