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Simplifying (-8x + -5)(-2x + -6) = 0 Reorder the terms: (-5 + -8x)(-2x + -6) = 0 Reorder the terms: (-5 + -8x)(-6 + -2x) = 0 Multiply (-5 + -8x) * (-6 + -2x) (-5(-6 + -2x) + -8x * (-6 + -2x)) = 0 ((-6 * -5 + -2x * -5) + -8x * (-6 + -2x)) = 0 ((30 + 10x) + -8x * (-6 + -2x)) = 0 (30 + 10x + (-6 * -8x + -2x * -8x)) = 0 (30 + 10x + (48x + 16x2)) = 0 Combine like terms: 10x + 48x = 58x (30 + 58x + 16x2) = 0 Solving 30 + 58x + 16x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(15 + 29x + 8x2) = 0 Factor a trinomial. 2((3 + x)(5 + 8x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(3 + x)' equal to zero and attempt to solve: Simplifying 3 + x = 0 Solving 3 + x = 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 + x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + x = 0 + -3 x = 0 + -3 Combine like terms: 0 + -3 = -3 x = -3 Simplifying x = -3Subproblem 2
Set the factor '(5 + 8x)' equal to zero and attempt to solve: Simplifying 5 + 8x = 0 Solving 5 + 8x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 8x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 8x = 0 + -5 8x = 0 + -5 Combine like terms: 0 + -5 = -5 8x = -5 Divide each side by '8'. x = -0.625 Simplifying x = -0.625Solution
x = {-3, -0.625}
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