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Simplifying (3 + -5x)(2 + 4x) = -12 Multiply (3 + -5x) * (2 + 4x) (3(2 + 4x) + -5x * (2 + 4x)) = -12 ((2 * 3 + 4x * 3) + -5x * (2 + 4x)) = -12 ((6 + 12x) + -5x * (2 + 4x)) = -12 (6 + 12x + (2 * -5x + 4x * -5x)) = -12 (6 + 12x + (-10x + -20x2)) = -12 Combine like terms: 12x + -10x = 2x (6 + 2x + -20x2) = -12 Solving 6 + 2x + -20x2 = -12 Solving for variable 'x'. Reorder the terms: 6 + 12 + 2x + -20x2 = -12 + 12 Combine like terms: 6 + 12 = 18 18 + 2x + -20x2 = -12 + 12 Combine like terms: -12 + 12 = 0 18 + 2x + -20x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(9 + x + -10x2) = 0 Factor a trinomial. 2((1 + -1x)(9 + 10x)) = 0 Ignore the factor 2.Subproblem 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 '(9 + 10x)' equal to zero and attempt to solve: Simplifying 9 + 10x = 0 Solving 9 + 10x = 0 Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + 10x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 10x = 0 + -9 10x = 0 + -9 Combine like terms: 0 + -9 = -9 10x = -9 Divide each side by '10'. x = -0.9 Simplifying x = -0.9Solution
x = {1, -0.9}
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