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Simplifying x2 + -3x + 12 = 100 Reorder the terms: 12 + -3x + x2 = 100 Solving 12 + -3x + x2 = 100 Solving for variable 'x'. Reorder the terms: 12 + -100 + -3x + x2 = 100 + -100 Combine like terms: 12 + -100 = -88 -88 + -3x + x2 = 100 + -100 Combine like terms: 100 + -100 = 0 -88 + -3x + x2 = 0 Factor a trinomial. (-8 + -1x)(11 + -1x) = 0Subproblem 1
Set the factor '(-8 + -1x)' equal to zero and attempt to solve: Simplifying -8 + -1x = 0 Solving -8 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + -1x = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -1x = 0 + 8 -1x = 0 + 8 Combine like terms: 0 + 8 = 8 -1x = 8 Divide each side by '-1'. x = -8 Simplifying x = -8Subproblem 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 = {-8, 11}
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