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Simplifying (8x + -2)(x + 5) = 0 Reorder the terms: (-2 + 8x)(x + 5) = 0 Reorder the terms: (-2 + 8x)(5 + x) = 0 Multiply (-2 + 8x) * (5 + x) (-2(5 + x) + 8x * (5 + x)) = 0 ((5 * -2 + x * -2) + 8x * (5 + x)) = 0 ((-10 + -2x) + 8x * (5 + x)) = 0 (-10 + -2x + (5 * 8x + x * 8x)) = 0 (-10 + -2x + (40x + 8x2)) = 0 Combine like terms: -2x + 40x = 38x (-10 + 38x + 8x2) = 0 Solving -10 + 38x + 8x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(-5 + 19x + 4x2) = 0 Factor a trinomial. 2((-5 + -1x)(1 + -4x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-5 + -1x)' equal to zero and attempt to solve: Simplifying -5 + -1x = 0 Solving -5 + -1x = 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 + -1x = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -1x = 0 + 5 -1x = 0 + 5 Combine like terms: 0 + 5 = 5 -1x = 5 Divide each side by '-1'. x = -5 Simplifying x = -5Subproblem 2
Set the factor '(1 + -4x)' equal to zero and attempt to solve: Simplifying 1 + -4x = 0 Solving 1 + -4x = 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 + -4x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -4x = 0 + -1 -4x = 0 + -1 Combine like terms: 0 + -1 = -1 -4x = -1 Divide each side by '-4'. x = 0.25 Simplifying x = 0.25Solution
x = {-5, 0.25}
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