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Simplifying (-3x + -2)(4x + 3) = 0 Reorder the terms: (-2 + -3x)(4x + 3) = 0 Reorder the terms: (-2 + -3x)(3 + 4x) = 0 Multiply (-2 + -3x) * (3 + 4x) (-2(3 + 4x) + -3x * (3 + 4x)) = 0 ((3 * -2 + 4x * -2) + -3x * (3 + 4x)) = 0 ((-6 + -8x) + -3x * (3 + 4x)) = 0 (-6 + -8x + (3 * -3x + 4x * -3x)) = 0 (-6 + -8x + (-9x + -12x2)) = 0 Combine like terms: -8x + -9x = -17x (-6 + -17x + -12x2) = 0 Solving -6 + -17x + -12x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '-1'. -1(6 + 17x + 12x2) = 0 Factor a trinomial. -1((3 + 4x)(2 + 3x)) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(3 + 4x)' equal to zero and attempt to solve: Simplifying 3 + 4x = 0 Solving 3 + 4x = 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 + 4x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 4x = 0 + -3 4x = 0 + -3 Combine like terms: 0 + -3 = -3 4x = -3 Divide each side by '4'. x = -0.75 Simplifying x = -0.75Subproblem 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 = {-0.75, -0.6666666667}
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