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Simplifying 0 = (9x + -2)(9x + -2) Reorder the terms: 0 = (-2 + 9x)(9x + -2) Reorder the terms: 0 = (-2 + 9x)(-2 + 9x) Multiply (-2 + 9x) * (-2 + 9x) 0 = (-2(-2 + 9x) + 9x * (-2 + 9x)) 0 = ((-2 * -2 + 9x * -2) + 9x * (-2 + 9x)) 0 = ((4 + -18x) + 9x * (-2 + 9x)) 0 = (4 + -18x + (-2 * 9x + 9x * 9x)) 0 = (4 + -18x + (-18x + 81x2)) Combine like terms: -18x + -18x = -36x 0 = (4 + -36x + 81x2) Solving 0 = 4 + -36x + 81x2 Solving for variable 'x'. Combine like terms: 0 + -4 = -4 -4 + 36x + -81x2 = 4 + -36x + 81x2 + -4 + 36x + -81x2 Reorder the terms: -4 + 36x + -81x2 = 4 + -4 + -36x + 36x + 81x2 + -81x2 Combine like terms: 4 + -4 = 0 -4 + 36x + -81x2 = 0 + -36x + 36x + 81x2 + -81x2 -4 + 36x + -81x2 = -36x + 36x + 81x2 + -81x2 Combine like terms: -36x + 36x = 0 -4 + 36x + -81x2 = 0 + 81x2 + -81x2 -4 + 36x + -81x2 = 81x2 + -81x2 Combine like terms: 81x2 + -81x2 = 0 -4 + 36x + -81x2 = 0 Factor a trinomial. (-2 + 9x)(2 + -9x) = 0Subproblem 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 = 0.2222222222Subproblem 2
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 = 0.2222222222Solution
x = {0.2222222222, 0.2222222222}
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