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Simplifying x2 + 1x + -7140 = 0 Reorder the terms: -7140 + 1x + x2 = 0 Solving -7140 + 1x + x2 = 0 Solving for variable 'x'. Factor a trinomial. (-85 + -1x)(84 + -1x) = 0Subproblem 1
Set the factor '(-85 + -1x)' equal to zero and attempt to solve: Simplifying -85 + -1x = 0 Solving -85 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '85' to each side of the equation. -85 + 85 + -1x = 0 + 85 Combine like terms: -85 + 85 = 0 0 + -1x = 0 + 85 -1x = 0 + 85 Combine like terms: 0 + 85 = 85 -1x = 85 Divide each side by '-1'. x = -85 Simplifying x = -85Subproblem 2
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 = 84Solution
x = {-85, 84}
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