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Simplifying (3x + -2)(3x + -2) = x Reorder the terms: (-2 + 3x)(3x + -2) = x Reorder the terms: (-2 + 3x)(-2 + 3x) = x Multiply (-2 + 3x) * (-2 + 3x) (-2(-2 + 3x) + 3x * (-2 + 3x)) = x ((-2 * -2 + 3x * -2) + 3x * (-2 + 3x)) = x ((4 + -6x) + 3x * (-2 + 3x)) = x (4 + -6x + (-2 * 3x + 3x * 3x)) = x (4 + -6x + (-6x + 9x2)) = x Combine like terms: -6x + -6x = -12x (4 + -12x + 9x2) = x Solving 4 + -12x + 9x2 = x Solving for variable 'x'. Reorder the terms: 4 + -12x + -1x + 9x2 = x + -1x Combine like terms: -12x + -1x = -13x 4 + -13x + 9x2 = x + -1x Combine like terms: x + -1x = 0 4 + -13x + 9x2 = 0 Factor a trinomial. (4 + -9x)(1 + -1x) = 0Subproblem 1
Set the factor '(4 + -9x)' equal to zero and attempt to solve: Simplifying 4 + -9x = 0 Solving 4 + -9x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -9x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -9x = 0 + -4 -9x = 0 + -4 Combine like terms: 0 + -4 = -4 -9x = -4 Divide each side by '-9'. x = 0.4444444444 Simplifying x = 0.4444444444Subproblem 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 = 1Solution
x = {0.4444444444, 1}
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