(9x-2)(9x-6)=

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Solution for (9x-2)(9x-6)= equation:


Simplifying
(9x + -2)(9x + -6) = 0

Reorder the terms:
(-2 + 9x)(9x + -6) = 0

Reorder the terms:
(-2 + 9x)(-6 + 9x) = 0

Multiply (-2 + 9x) * (-6 + 9x)
(-2(-6 + 9x) + 9x * (-6 + 9x)) = 0
((-6 * -2 + 9x * -2) + 9x * (-6 + 9x)) = 0
((12 + -18x) + 9x * (-6 + 9x)) = 0
(12 + -18x + (-6 * 9x + 9x * 9x)) = 0
(12 + -18x + (-54x + 81x2)) = 0

Combine like terms: -18x + -54x = -72x
(12 + -72x + 81x2) = 0

Solving
12 + -72x + 81x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3'.
3(4 + -24x + 27x2) = 0

Factor a trinomial.
3((2 + -9x)(2 + -3x)) = 0

Ignore the factor 3.

Subproblem 1

Set the factor '(2 + -9x)' equal to zero and attempt to solve: Simplifying 2 + -9x = 0 Solving 2 + -9x = 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 + -9x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -9x = 0 + -2 -9x = 0 + -2 Combine like terms: 0 + -2 = -2 -9x = -2 Divide each side by '-9'. x = 0.2222222222 Simplifying x = 0.2222222222

Subproblem 2

Set the factor '(2 + -3x)' equal to zero and attempt to solve: Simplifying 2 + -3x = 0 Solving 2 + -3x = 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 + -3x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -3x = 0 + -2 -3x = 0 + -2 Combine like terms: 0 + -2 = -2 -3x = -2 Divide each side by '-3'. x = 0.6666666667 Simplifying x = 0.6666666667

Solution

x = {0.2222222222, 0.6666666667}

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