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Simplifying x2 + 8x + -89 = -5 Reorder the terms: -89 + 8x + x2 = -5 Solving -89 + 8x + x2 = -5 Solving for variable 'x'. Reorder the terms: -89 + 5 + 8x + x2 = -5 + 5 Combine like terms: -89 + 5 = -84 -84 + 8x + x2 = -5 + 5 Combine like terms: -5 + 5 = 0 -84 + 8x + x2 = 0 Factor a trinomial. (-14 + -1x)(6 + -1x) = 0Subproblem 1
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 = -14Subproblem 2
Set the factor '(6 + -1x)' equal to zero and attempt to solve: Simplifying 6 + -1x = 0 Solving 6 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -1x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1x = 0 + -6 -1x = 0 + -6 Combine like terms: 0 + -6 = -6 -1x = -6 Divide each side by '-1'. x = 6 Simplifying x = 6Solution
x = {-14, 6}
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