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Simplifying 14x2 + -78x + -140 = 0 Reorder the terms: -140 + -78x + 14x2 = 0 Solving -140 + -78x + 14x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(-70 + -39x + 7x2) = 0 Factor a trinomial. 2((-10 + -7x)(7 + -1x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-10 + -7x)' equal to zero and attempt to solve: Simplifying -10 + -7x = 0 Solving -10 + -7x = 0 Move all terms containing x to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + -7x = 0 + 10 Combine like terms: -10 + 10 = 0 0 + -7x = 0 + 10 -7x = 0 + 10 Combine like terms: 0 + 10 = 10 -7x = 10 Divide each side by '-7'. x = -1.428571429 Simplifying x = -1.428571429Subproblem 2
Set the factor '(7 + -1x)' equal to zero and attempt to solve: Simplifying 7 + -1x = 0 Solving 7 + -1x = 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 + -1x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1x = 0 + -7 -1x = 0 + -7 Combine like terms: 0 + -7 = -7 -1x = -7 Divide each side by '-1'. x = 7 Simplifying x = 7Solution
x = {-1.428571429, 7}
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