(9x-18)(9x-18)=

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Solution for (9x-18)(9x-18)= equation:


Simplifying
(9x + -18)(9x + -18) = 0

Reorder the terms:
(-18 + 9x)(9x + -18) = 0

Reorder the terms:
(-18 + 9x)(-18 + 9x) = 0

Multiply (-18 + 9x) * (-18 + 9x)
(-18(-18 + 9x) + 9x * (-18 + 9x)) = 0
((-18 * -18 + 9x * -18) + 9x * (-18 + 9x)) = 0
((324 + -162x) + 9x * (-18 + 9x)) = 0
(324 + -162x + (-18 * 9x + 9x * 9x)) = 0
(324 + -162x + (-162x + 81x2)) = 0

Combine like terms: -162x + -162x = -324x
(324 + -324x + 81x2) = 0

Solving
324 + -324x + 81x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '81'.
81(4 + -4x + x2) = 0

Factor a trinomial.
81((2 + -1x)(2 + -1x)) = 0

Ignore the factor 81.

Subproblem 1

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

Subproblem 2

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

Solution

x = {2, 2}

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