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Simplifying x2 + 7x + -8 = 90 Reorder the terms: -8 + 7x + x2 = 90 Solving -8 + 7x + x2 = 90 Solving for variable 'x'. Reorder the terms: -8 + -90 + 7x + x2 = 90 + -90 Combine like terms: -8 + -90 = -98 -98 + 7x + x2 = 90 + -90 Combine like terms: 90 + -90 = 0 -98 + 7x + x2 = 0 Factor a trinomial. (-14 + -1x)(7 + -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 '(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 = {-14, 7}
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