(2x-9)(2x-9)=0

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Solution for (2x-9)(2x-9)=0 equation:


Simplifying
(2x + -9)(2x + -9) = 0

Reorder the terms:
(-9 + 2x)(2x + -9) = 0

Reorder the terms:
(-9 + 2x)(-9 + 2x) = 0

Multiply (-9 + 2x) * (-9 + 2x)
(-9(-9 + 2x) + 2x * (-9 + 2x)) = 0
((-9 * -9 + 2x * -9) + 2x * (-9 + 2x)) = 0
((81 + -18x) + 2x * (-9 + 2x)) = 0
(81 + -18x + (-9 * 2x + 2x * 2x)) = 0
(81 + -18x + (-18x + 4x2)) = 0

Combine like terms: -18x + -18x = -36x
(81 + -36x + 4x2) = 0

Solving
81 + -36x + 4x2 = 0

Solving for variable 'x'.

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

Subproblem 1

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

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 = {4.5, 4.5}

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