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Simplifying x2 + -1x + -5550 = 0 Reorder the terms: -5550 + -1x + x2 = 0 Solving -5550 + -1x + x2 = 0 Solving for variable 'x'. Factor a trinomial. (-74 + -1x)(75 + -1x) = 0Subproblem 1
Set the factor '(-74 + -1x)' equal to zero and attempt to solve: Simplifying -74 + -1x = 0 Solving -74 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '74' to each side of the equation. -74 + 74 + -1x = 0 + 74 Combine like terms: -74 + 74 = 0 0 + -1x = 0 + 74 -1x = 0 + 74 Combine like terms: 0 + 74 = 74 -1x = 74 Divide each side by '-1'. x = -74 Simplifying x = -74Subproblem 2
Set the factor '(75 + -1x)' equal to zero and attempt to solve: Simplifying 75 + -1x = 0 Solving 75 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-75' to each side of the equation. 75 + -75 + -1x = 0 + -75 Combine like terms: 75 + -75 = 0 0 + -1x = 0 + -75 -1x = 0 + -75 Combine like terms: 0 + -75 = -75 -1x = -75 Divide each side by '-1'. x = 75 Simplifying x = 75Solution
x = {-74, 75}
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