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Simplifying 14x2 + 820x + -14224 = 0 Reorder the terms: -14224 + 820x + 14x2 = 0 Solving -14224 + 820x + 14x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(-7112 + 410x + 7x2) = 0 Factor a trinomial. 2((-508 + -7x)(14 + -1x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-508 + -7x)' equal to zero and attempt to solve: Simplifying -508 + -7x = 0 Solving -508 + -7x = 0 Move all terms containing x to the left, all other terms to the right. Add '508' to each side of the equation. -508 + 508 + -7x = 0 + 508 Combine like terms: -508 + 508 = 0 0 + -7x = 0 + 508 -7x = 0 + 508 Combine like terms: 0 + 508 = 508 -7x = 508 Divide each side by '-7'. x = -72.57142857 Simplifying x = -72.57142857Subproblem 2
Set the factor '(14 + -1x)' equal to zero and attempt to solve: Simplifying 14 + -1x = 0 Solving 14 + -1x = 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 + -1x = 0 + -14 Combine like terms: 14 + -14 = 0 0 + -1x = 0 + -14 -1x = 0 + -14 Combine like terms: 0 + -14 = -14 -1x = -14 Divide each side by '-1'. x = 14 Simplifying x = 14Solution
x = {-72.57142857, 14}
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