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