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Simplifying 10x2 + -22x + -140 = 0 Reorder the terms: -140 + -22x + 10x2 = 0 Solving -140 + -22x + 10x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(-70 + -11x + 5x2) = 0 Factor a trinomial. 2((-14 + -5x)(5 + -1x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-14 + -5x)' equal to zero and attempt to solve: Simplifying -14 + -5x = 0 Solving -14 + -5x = 0 Move all terms containing x to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 14 + -5x = 0 + 14 Combine like terms: -14 + 14 = 0 0 + -5x = 0 + 14 -5x = 0 + 14 Combine like terms: 0 + 14 = 14 -5x = 14 Divide each side by '-5'. x = -2.8 Simplifying x = -2.8Subproblem 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 = {-2.8, 5}
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