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Simplifying (3x + -2)(-2x + 1) = 0 Reorder the terms: (-2 + 3x)(-2x + 1) = 0 Reorder the terms: (-2 + 3x)(1 + -2x) = 0 Multiply (-2 + 3x) * (1 + -2x) (-2(1 + -2x) + 3x * (1 + -2x)) = 0 ((1 * -2 + -2x * -2) + 3x * (1 + -2x)) = 0 ((-2 + 4x) + 3x * (1 + -2x)) = 0 (-2 + 4x + (1 * 3x + -2x * 3x)) = 0 (-2 + 4x + (3x + -6x2)) = 0 Combine like terms: 4x + 3x = 7x (-2 + 7x + -6x2) = 0 Solving -2 + 7x + -6x2 = 0 Solving for variable 'x'. Factor a trinomial. (-2 + 3x)(1 + -2x) = 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 + -2x)' equal to zero and attempt to solve: Simplifying 1 + -2x = 0 Solving 1 + -2x = 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 + -2x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -2x = 0 + -1 -2x = 0 + -1 Combine like terms: 0 + -1 = -1 -2x = -1 Divide each side by '-2'. x = 0.5 Simplifying x = 0.5Solution
x = {0.6666666667, 0.5}
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