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Simplifying 0 = x2 + 99x + -100 Reorder the terms: 0 = -100 + 99x + x2 Solving 0 = -100 + 99x + x2 Solving for variable 'x'. Combine like terms: 0 + 100 = 100 100 + -99x + -1x2 = -100 + 99x + x2 + 100 + -99x + -1x2 Reorder the terms: 100 + -99x + -1x2 = -100 + 100 + 99x + -99x + x2 + -1x2 Combine like terms: -100 + 100 = 0 100 + -99x + -1x2 = 0 + 99x + -99x + x2 + -1x2 100 + -99x + -1x2 = 99x + -99x + x2 + -1x2 Combine like terms: 99x + -99x = 0 100 + -99x + -1x2 = 0 + x2 + -1x2 100 + -99x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 100 + -99x + -1x2 = 0 Factor a trinomial. (1 + -1x)(100 + x) = 0Subproblem 1
Set the factor '(1 + -1x)' equal to zero and attempt to solve: Simplifying 1 + -1x = 0 Solving 1 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -1x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1x = 0 + -1 -1x = 0 + -1 Combine like terms: 0 + -1 = -1 -1x = -1 Divide each side by '-1'. x = 1 Simplifying x = 1Subproblem 2
Set the factor '(100 + x)' equal to zero and attempt to solve: Simplifying 100 + x = 0 Solving 100 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-100' to each side of the equation. 100 + -100 + x = 0 + -100 Combine like terms: 100 + -100 = 0 0 + x = 0 + -100 x = 0 + -100 Combine like terms: 0 + -100 = -100 x = -100 Simplifying x = -100Solution
x = {1, -100}
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