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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 = -110 -110 + -1x + x2 = 10 + x + -10 + -1x Reorder the terms: -110 + -1x + x2 = 10 + -10 + x + -1x Combine like terms: 10 + -10 = 0 -110 + -1x + x2 = 0 + x + -1x -110 + -1x + x2 = x + -1x Combine like terms: x + -1x = 0 -110 + -1x + x2 = 0 Factor a trinomial. (-10 + -1x)(11 + -1x) = 0Subproblem 1
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 = -10Subproblem 2
Set the factor '(11 + -1x)' equal to zero and attempt to solve: Simplifying 11 + -1x = 0 Solving 11 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + -1x = 0 + -11 Combine like terms: 11 + -11 = 0 0 + -1x = 0 + -11 -1x = 0 + -11 Combine like terms: 0 + -11 = -11 -1x = -11 Divide each side by '-1'. x = 11 Simplifying x = 11Solution
x = {-10, 11}
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