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Simplifying x2 + -10x + -11000 = 0 Reorder the terms: -11000 + -10x + x2 = 0 Solving -11000 + -10x + x2 = 0 Solving for variable 'x'. Factor a trinomial. (-100 + -1x)(110 + -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 '(110 + -1x)' equal to zero and attempt to solve: Simplifying 110 + -1x = 0 Solving 110 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-110' to each side of the equation. 110 + -110 + -1x = 0 + -110 Combine like terms: 110 + -110 = 0 0 + -1x = 0 + -110 -1x = 0 + -110 Combine like terms: 0 + -110 = -110 -1x = -110 Divide each side by '-1'. x = 110 Simplifying x = 110Solution
x = {-100, 110}
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