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Simplifying x2 + x + -2550 = 0 Reorder the terms: -2550 + x + x2 = 0 Solving -2550 + x + x2 = 0 Solving for variable 'x'. Factor a trinomial. (-51 + -1x)(50 + -1x) = 0Subproblem 1
Set the factor '(-51 + -1x)' equal to zero and attempt to solve: Simplifying -51 + -1x = 0 Solving -51 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '51' to each side of the equation. -51 + 51 + -1x = 0 + 51 Combine like terms: -51 + 51 = 0 0 + -1x = 0 + 51 -1x = 0 + 51 Combine like terms: 0 + 51 = 51 -1x = 51 Divide each side by '-1'. x = -51 Simplifying x = -51Subproblem 2
Set the factor '(50 + -1x)' equal to zero and attempt to solve: Simplifying 50 + -1x = 0 Solving 50 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-50' to each side of the equation. 50 + -50 + -1x = 0 + -50 Combine like terms: 50 + -50 = 0 0 + -1x = 0 + -50 -1x = 0 + -50 Combine like terms: 0 + -50 = -50 -1x = -50 Divide each side by '-1'. x = 50 Simplifying x = 50Solution
x = {-51, 50}
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