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Simplifying (2x + -3)(3x + 2) = 0 Reorder the terms: (-3 + 2x)(3x + 2) = 0 Reorder the terms: (-3 + 2x)(2 + 3x) = 0 Multiply (-3 + 2x) * (2 + 3x) (-3(2 + 3x) + 2x * (2 + 3x)) = 0 ((2 * -3 + 3x * -3) + 2x * (2 + 3x)) = 0 ((-6 + -9x) + 2x * (2 + 3x)) = 0 (-6 + -9x + (2 * 2x + 3x * 2x)) = 0 (-6 + -9x + (4x + 6x2)) = 0 Combine like terms: -9x + 4x = -5x (-6 + -5x + 6x2) = 0 Solving -6 + -5x + 6x2 = 0 Solving for variable 'x'. Factor a trinomial. (-2 + -3x)(3 + -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 '(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 = {-0.6666666667, 1.5}
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