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Simplifying 0 = x2 + 5x + -8550 Reorder the terms: 0 = -8550 + 5x + x2 Solving 0 = -8550 + 5x + x2 Solving for variable 'x'. Combine like terms: 0 + 8550 = 8550 8550 + -5x + -1x2 = -8550 + 5x + x2 + 8550 + -5x + -1x2 Reorder the terms: 8550 + -5x + -1x2 = -8550 + 8550 + 5x + -5x + x2 + -1x2 Combine like terms: -8550 + 8550 = 0 8550 + -5x + -1x2 = 0 + 5x + -5x + x2 + -1x2 8550 + -5x + -1x2 = 5x + -5x + x2 + -1x2 Combine like terms: 5x + -5x = 0 8550 + -5x + -1x2 = 0 + x2 + -1x2 8550 + -5x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 8550 + -5x + -1x2 = 0 Factor a trinomial. (90 + -1x)(95 + x) = 0Subproblem 1
Set the factor '(90 + -1x)' equal to zero and attempt to solve: Simplifying 90 + -1x = 0 Solving 90 + -1x = 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 + -1x = 0 + -90 Combine like terms: 90 + -90 = 0 0 + -1x = 0 + -90 -1x = 0 + -90 Combine like terms: 0 + -90 = -90 -1x = -90 Divide each side by '-1'. x = 90 Simplifying x = 90Subproblem 2
Set the factor '(95 + x)' equal to zero and attempt to solve: Simplifying 95 + x = 0 Solving 95 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-95' to each side of the equation. 95 + -95 + x = 0 + -95 Combine like terms: 95 + -95 = 0 0 + x = 0 + -95 x = 0 + -95 Combine like terms: 0 + -95 = -95 x = -95 Simplifying x = -95Solution
x = {90, -95}
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