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Simplifying -1(5x + -3)(2x + -4) = 0 Reorder the terms: -1(-3 + 5x)(2x + -4) = 0 Reorder the terms: -1(-3 + 5x)(-4 + 2x) = 0 Multiply (-3 + 5x) * (-4 + 2x) -1(-3(-4 + 2x) + 5x * (-4 + 2x)) = 0 -1((-4 * -3 + 2x * -3) + 5x * (-4 + 2x)) = 0 -1((12 + -6x) + 5x * (-4 + 2x)) = 0 -1(12 + -6x + (-4 * 5x + 2x * 5x)) = 0 -1(12 + -6x + (-20x + 10x2)) = 0 Combine like terms: -6x + -20x = -26x -1(12 + -26x + 10x2) = 0 (12 * -1 + -26x * -1 + 10x2 * -1) = 0 (-12 + 26x + -10x2) = 0 Solving -12 + 26x + -10x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(-6 + 13x + -5x2) = 0 Factor a trinomial. 2((-2 + x)(3 + -5x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-2 + x)' equal to zero and attempt to solve: Simplifying -2 + x = 0 Solving -2 + x = 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 + x = 0 + 2 Combine like terms: -2 + 2 = 0 0 + x = 0 + 2 x = 0 + 2 Combine like terms: 0 + 2 = 2 x = 2 Simplifying x = 2Subproblem 2
Set the factor '(3 + -5x)' equal to zero and attempt to solve: Simplifying 3 + -5x = 0 Solving 3 + -5x = 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 + -5x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -5x = 0 + -3 -5x = 0 + -3 Combine like terms: 0 + -3 = -3 -5x = -3 Divide each side by '-5'. x = 0.6 Simplifying x = 0.6Solution
x = {2, 0.6}
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