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Simplifying x2 + -8x = -7x + 90 Reorder the terms: -8x + x2 = -7x + 90 Reorder the terms: -8x + x2 = 90 + -7x Solving -8x + x2 = 90 + -7x Solving for variable 'x'. Reorder the terms: -90 + -8x + 7x + x2 = 90 + -7x + -90 + 7x Combine like terms: -8x + 7x = -1x -90 + -1x + x2 = 90 + -7x + -90 + 7x Reorder the terms: -90 + -1x + x2 = 90 + -90 + -7x + 7x Combine like terms: 90 + -90 = 0 -90 + -1x + x2 = 0 + -7x + 7x -90 + -1x + x2 = -7x + 7x Combine like terms: -7x + 7x = 0 -90 + -1x + x2 = 0 Factor a trinomial. (-9 + -1x)(10 + -1x) = 0Subproblem 1
Set the factor '(-9 + -1x)' equal to zero and attempt to solve: Simplifying -9 + -1x = 0 Solving -9 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + -1x = 0 + 9 Combine like terms: -9 + 9 = 0 0 + -1x = 0 + 9 -1x = 0 + 9 Combine like terms: 0 + 9 = 9 -1x = 9 Divide each side by '-1'. x = -9 Simplifying x = -9Subproblem 2
Set the factor '(10 + -1x)' equal to zero and attempt to solve: Simplifying 10 + -1x = 0 Solving 10 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -1x = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -1x = 0 + -10 -1x = 0 + -10 Combine like terms: 0 + -10 = -10 -1x = -10 Divide each side by '-1'. x = 10 Simplifying x = 10Solution
x = {-9, 10}
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