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