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Simplifying 10x(x + -5) = 360 Reorder the terms: 10x(-5 + x) = 360 (-5 * 10x + x * 10x) = 360 (-50x + 10x2) = 360 Solving -50x + 10x2 = 360 Solving for variable 'x'. Reorder the terms: -360 + -50x + 10x2 = 360 + -360 Combine like terms: 360 + -360 = 0 -360 + -50x + 10x2 = 0 Factor out the Greatest Common Factor (GCF), '10'. 10(-36 + -5x + x2) = 0 Factor a trinomial. 10((-4 + -1x)(9 + -1x)) = 0 Ignore the factor 10.Subproblem 1
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 = -4Subproblem 2
Set the factor '(9 + -1x)' equal to zero and attempt to solve: Simplifying 9 + -1x = 0 Solving 9 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -1x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -1x = 0 + -9 -1x = 0 + -9 Combine like terms: 0 + -9 = -9 -1x = -9 Divide each side by '-1'. x = 9 Simplifying x = 9Solution
x = {-4, 9}
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