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Simplifying x2 + -100 = x + -10 Reorder the terms: -100 + x2 = x + -10 Reorder the terms: -100 + x2 = -10 + x Solving -100 + x2 = -10 + x Solving for variable 'x'. Reorder the terms: -100 + 10 + -1x + x2 = -10 + x + 10 + -1x Combine like terms: -100 + 10 = -90 -90 + -1x + x2 = -10 + x + 10 + -1x Reorder the terms: -90 + -1x + x2 = -10 + 10 + x + -1x Combine like terms: -10 + 10 = 0 -90 + -1x + x2 = 0 + x + -1x -90 + -1x + x2 = x + -1x Combine like terms: x + -1x = 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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