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Simplifying 9x(x + -1) = 3x + -4 Reorder the terms: 9x(-1 + x) = 3x + -4 (-1 * 9x + x * 9x) = 3x + -4 (-9x + 9x2) = 3x + -4 Reorder the terms: -9x + 9x2 = -4 + 3x Solving -9x + 9x2 = -4 + 3x Solving for variable 'x'. Reorder the terms: 4 + -9x + -3x + 9x2 = -4 + 3x + 4 + -3x Combine like terms: -9x + -3x = -12x 4 + -12x + 9x2 = -4 + 3x + 4 + -3x Reorder the terms: 4 + -12x + 9x2 = -4 + 4 + 3x + -3x Combine like terms: -4 + 4 = 0 4 + -12x + 9x2 = 0 + 3x + -3x 4 + -12x + 9x2 = 3x + -3x Combine like terms: 3x + -3x = 0 4 + -12x + 9x2 = 0 Factor a trinomial. (2 + -3x)(2 + -3x) = 0Subproblem 1
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 = 0.6666666667Subproblem 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 = 0.6666666667Solution
x = {0.6666666667, 0.6666666667}
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