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Simplifying (x + -1)(2x + -3) = 0 Reorder the terms: (-1 + x)(2x + -3) = 0 Reorder the terms: (-1 + x)(-3 + 2x) = 0 Multiply (-1 + x) * (-3 + 2x) (-1(-3 + 2x) + x(-3 + 2x)) = 0 ((-3 * -1 + 2x * -1) + x(-3 + 2x)) = 0 ((3 + -2x) + x(-3 + 2x)) = 0 (3 + -2x + (-3 * x + 2x * x)) = 0 (3 + -2x + (-3x + 2x2)) = 0 Combine like terms: -2x + -3x = -5x (3 + -5x + 2x2) = 0 Solving 3 + -5x + 2x2 = 0 Solving for variable 'x'. Factor a trinomial. (1 + -1x)(3 + -2x) = 0Subproblem 1
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 = 1Subproblem 2
Set the factor '(3 + -2x)' equal to zero and attempt to solve: Simplifying 3 + -2x = 0 Solving 3 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -2x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -2x = 0 + -3 -2x = 0 + -3 Combine like terms: 0 + -3 = -3 -2x = -3 Divide each side by '-2'. x = 1.5 Simplifying x = 1.5Solution
x = {1, 1.5}
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