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Simplifying (3x + -2)(x + -3) = 0 Reorder the terms: (-2 + 3x)(x + -3) = 0 Reorder the terms: (-2 + 3x)(-3 + x) = 0 Multiply (-2 + 3x) * (-3 + x) (-2(-3 + x) + 3x * (-3 + x)) = 0 ((-3 * -2 + x * -2) + 3x * (-3 + x)) = 0 ((6 + -2x) + 3x * (-3 + x)) = 0 (6 + -2x + (-3 * 3x + x * 3x)) = 0 (6 + -2x + (-9x + 3x2)) = 0 Combine like terms: -2x + -9x = -11x (6 + -11x + 3x2) = 0 Solving 6 + -11x + 3x2 = 0 Solving for variable 'x'. Factor a trinomial. (2 + -3x)(3 + -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 '(3 + -1x)' equal to zero and attempt to solve: Simplifying 3 + -1x = 0 Solving 3 + -1x = 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 + -1x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1x = 0 + -3 -1x = 0 + -3 Combine like terms: 0 + -3 = -3 -1x = -3 Divide each side by '-1'. x = 3 Simplifying x = 3Solution
x = {0.6666666667, 3}
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