(x-1)(x-1)=144

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Solution for (x-1)(x-1)=144 equation:


Simplifying
(x + -1)(x + -1) = 144

Reorder the terms:
(-1 + x)(x + -1) = 144

Reorder the terms:
(-1 + x)(-1 + x) = 144

Multiply (-1 + x) * (-1 + x)
(-1(-1 + x) + x(-1 + x)) = 144
((-1 * -1 + x * -1) + x(-1 + x)) = 144
((1 + -1x) + x(-1 + x)) = 144
(1 + -1x + (-1 * x + x * x)) = 144
(1 + -1x + (-1x + x2)) = 144

Combine like terms: -1x + -1x = -2x
(1 + -2x + x2) = 144

Solving
1 + -2x + x2 = 144

Solving for variable 'x'.

Reorder the terms:
1 + -144 + -2x + x2 = 144 + -144

Combine like terms: 1 + -144 = -143
-143 + -2x + x2 = 144 + -144

Combine like terms: 144 + -144 = 0
-143 + -2x + x2 = 0

Factor a trinomial.
(-11 + -1x)(13 + -1x) = 0

Subproblem 1

Set the factor '(-11 + -1x)' equal to zero and attempt to solve: Simplifying -11 + -1x = 0 Solving -11 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + -1x = 0 + 11 Combine like terms: -11 + 11 = 0 0 + -1x = 0 + 11 -1x = 0 + 11 Combine like terms: 0 + 11 = 11 -1x = 11 Divide each side by '-1'. x = -11 Simplifying x = -11

Subproblem 2

Set the factor '(13 + -1x)' equal to zero and attempt to solve: Simplifying 13 + -1x = 0 Solving 13 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + -1x = 0 + -13 Combine like terms: 13 + -13 = 0 0 + -1x = 0 + -13 -1x = 0 + -13 Combine like terms: 0 + -13 = -13 -1x = -13 Divide each side by '-1'. x = 13 Simplifying x = 13

Solution

x = {-11, 13}

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