(9x-9)(9x-9)=

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Solution for (9x-9)(9x-9)= equation:


Simplifying
(9x + -9)(9x + -9) = 0

Reorder the terms:
(-9 + 9x)(9x + -9) = 0

Reorder the terms:
(-9 + 9x)(-9 + 9x) = 0

Multiply (-9 + 9x) * (-9 + 9x)
(-9(-9 + 9x) + 9x * (-9 + 9x)) = 0
((-9 * -9 + 9x * -9) + 9x * (-9 + 9x)) = 0
((81 + -81x) + 9x * (-9 + 9x)) = 0
(81 + -81x + (-9 * 9x + 9x * 9x)) = 0
(81 + -81x + (-81x + 81x2)) = 0

Combine like terms: -81x + -81x = -162x
(81 + -162x + 81x2) = 0

Solving
81 + -162x + 81x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '81'.
81(1 + -2x + x2) = 0

Factor a trinomial.
81((1 + -1x)(1 + -1x)) = 0

Ignore the factor 81.

Subproblem 1

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

Subproblem 2

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

Solution

x = {1, 1}

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