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Simplifying (-3x + 2)(x + -1) = 0 Reorder the terms: (2 + -3x)(x + -1) = 0 Reorder the terms: (2 + -3x)(-1 + x) = 0 Multiply (2 + -3x) * (-1 + x) (2(-1 + x) + -3x * (-1 + x)) = 0 ((-1 * 2 + x * 2) + -3x * (-1 + x)) = 0 ((-2 + 2x) + -3x * (-1 + x)) = 0 (-2 + 2x + (-1 * -3x + x * -3x)) = 0 (-2 + 2x + (3x + -3x2)) = 0 Combine like terms: 2x + 3x = 5x (-2 + 5x + -3x2) = 0 Solving -2 + 5x + -3x2 = 0 Solving for variable 'x'. Factor a trinomial. (-1 + x)(2 + -3x) = 0Subproblem 1
Set the factor '(-1 + x)' equal to zero and attempt to solve: Simplifying -1 + x = 0 Solving -1 + x = 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 + x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + x = 0 + 1 x = 0 + 1 Combine like terms: 0 + 1 = 1 x = 1 Simplifying x = 1Subproblem 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 = {1, 0.6666666667}
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