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Simplifying (2x + -8)(5x + 7) = 0 Reorder the terms: (-8 + 2x)(5x + 7) = 0 Reorder the terms: (-8 + 2x)(7 + 5x) = 0 Multiply (-8 + 2x) * (7 + 5x) (-8(7 + 5x) + 2x * (7 + 5x)) = 0 ((7 * -8 + 5x * -8) + 2x * (7 + 5x)) = 0 ((-56 + -40x) + 2x * (7 + 5x)) = 0 (-56 + -40x + (7 * 2x + 5x * 2x)) = 0 (-56 + -40x + (14x + 10x2)) = 0 Combine like terms: -40x + 14x = -26x (-56 + -26x + 10x2) = 0 Solving -56 + -26x + 10x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(-28 + -13x + 5x2) = 0 Factor a trinomial. 2((-7 + -5x)(4 + -1x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-7 + -5x)' equal to zero and attempt to solve: Simplifying -7 + -5x = 0 Solving -7 + -5x = 0 Move all terms containing x to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + -5x = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -5x = 0 + 7 -5x = 0 + 7 Combine like terms: 0 + 7 = 7 -5x = 7 Divide each side by '-5'. x = -1.4 Simplifying x = -1.4Subproblem 2
Set the factor '(4 + -1x)' equal to zero and attempt to solve: Simplifying 4 + -1x = 0 Solving 4 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1x = 0 + -4 -1x = 0 + -4 Combine like terms: 0 + -4 = -4 -1x = -4 Divide each side by '-1'. x = 4 Simplifying x = 4Solution
x = {-1.4, 4}
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