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Simplifying (x + 10)(8x + -6) = 0 Reorder the terms: (10 + x)(8x + -6) = 0 Reorder the terms: (10 + x)(-6 + 8x) = 0 Multiply (10 + x) * (-6 + 8x) (10(-6 + 8x) + x(-6 + 8x)) = 0 ((-6 * 10 + 8x * 10) + x(-6 + 8x)) = 0 ((-60 + 80x) + x(-6 + 8x)) = 0 (-60 + 80x + (-6 * x + 8x * x)) = 0 (-60 + 80x + (-6x + 8x2)) = 0 Combine like terms: 80x + -6x = 74x (-60 + 74x + 8x2) = 0 Solving -60 + 74x + 8x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(-30 + 37x + 4x2) = 0 Factor a trinomial. 2((-10 + -1x)(3 + -4x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-10 + -1x)' equal to zero and attempt to solve: Simplifying -10 + -1x = 0 Solving -10 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + -1x = 0 + 10 Combine like terms: -10 + 10 = 0 0 + -1x = 0 + 10 -1x = 0 + 10 Combine like terms: 0 + 10 = 10 -1x = 10 Divide each side by '-1'. x = -10 Simplifying x = -10Subproblem 2
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 = 0.75Solution
x = {-10, 0.75}
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