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Simplifying 0 = x2 + x + -90 Reorder the terms: 0 = -90 + x + x2 Solving 0 = -90 + x + x2 Solving for variable 'x'. Combine like terms: 0 + 90 = 90 90 + -1x + -1x2 = -90 + x + x2 + 90 + -1x + -1x2 Reorder the terms: 90 + -1x + -1x2 = -90 + 90 + x + -1x + x2 + -1x2 Combine like terms: -90 + 90 = 0 90 + -1x + -1x2 = 0 + x + -1x + x2 + -1x2 90 + -1x + -1x2 = x + -1x + x2 + -1x2 Combine like terms: x + -1x = 0 90 + -1x + -1x2 = 0 + x2 + -1x2 90 + -1x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 90 + -1x + -1x2 = 0 Factor a trinomial. (9 + -1x)(10 + x) = 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 + x)' equal to zero and attempt to solve: Simplifying 10 + x = 0 Solving 10 + x = 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 + x = 0 + -10 Combine like terms: 10 + -10 = 0 0 + x = 0 + -10 x = 0 + -10 Combine like terms: 0 + -10 = -10 x = -10 Simplifying x = -10Solution
x = {9, -10}
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