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Simplifying 0 = x2 + -10x + -9000 Reorder the terms: 0 = -9000 + -10x + x2 Solving 0 = -9000 + -10x + x2 Solving for variable 'x'. Combine like terms: 0 + 9000 = 9000 9000 + 10x + -1x2 = -9000 + -10x + x2 + 9000 + 10x + -1x2 Reorder the terms: 9000 + 10x + -1x2 = -9000 + 9000 + -10x + 10x + x2 + -1x2 Combine like terms: -9000 + 9000 = 0 9000 + 10x + -1x2 = 0 + -10x + 10x + x2 + -1x2 9000 + 10x + -1x2 = -10x + 10x + x2 + -1x2 Combine like terms: -10x + 10x = 0 9000 + 10x + -1x2 = 0 + x2 + -1x2 9000 + 10x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 9000 + 10x + -1x2 = 0 Factor a trinomial. (100 + -1x)(90 + x) = 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 '(90 + x)' equal to zero and attempt to solve: Simplifying 90 + x = 0 Solving 90 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-90' to each side of the equation. 90 + -90 + x = 0 + -90 Combine like terms: 90 + -90 = 0 0 + x = 0 + -90 x = 0 + -90 Combine like terms: 0 + -90 = -90 x = -90 Simplifying x = -90Solution
x = {100, -90}
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