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Simplifying 10x2 + -18x + -160 = 0 Reorder the terms: -160 + -18x + 10x2 = 0 Solving -160 + -18x + 10x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(-80 + -9x + 5x2) = 0 Factor a trinomial. 2((-16 + -5x)(5 + -1x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-16 + -5x)' equal to zero and attempt to solve: Simplifying -16 + -5x = 0 Solving -16 + -5x = 0 Move all terms containing x to the left, all other terms to the right. Add '16' to each side of the equation. -16 + 16 + -5x = 0 + 16 Combine like terms: -16 + 16 = 0 0 + -5x = 0 + 16 -5x = 0 + 16 Combine like terms: 0 + 16 = 16 -5x = 16 Divide each side by '-5'. x = -3.2 Simplifying x = -3.2Subproblem 2
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 = 5Solution
x = {-3.2, 5}
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