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Simplifying x2 + -14x + -8232 = 0 Reorder the terms: -8232 + -14x + x2 = 0 Solving -8232 + -14x + x2 = 0 Solving for variable 'x'. Factor a trinomial. (-84 + -1x)(98 + -1x) = 0Subproblem 1
Set the factor '(-84 + -1x)' equal to zero and attempt to solve: Simplifying -84 + -1x = 0 Solving -84 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '84' to each side of the equation. -84 + 84 + -1x = 0 + 84 Combine like terms: -84 + 84 = 0 0 + -1x = 0 + 84 -1x = 0 + 84 Combine like terms: 0 + 84 = 84 -1x = 84 Divide each side by '-1'. x = -84 Simplifying x = -84Subproblem 2
Set the factor '(98 + -1x)' equal to zero and attempt to solve: Simplifying 98 + -1x = 0 Solving 98 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-98' to each side of the equation. 98 + -98 + -1x = 0 + -98 Combine like terms: 98 + -98 = 0 0 + -1x = 0 + -98 -1x = 0 + -98 Combine like terms: 0 + -98 = -98 -1x = -98 Divide each side by '-1'. x = 98 Simplifying x = 98Solution
x = {-84, 98}
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