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Simplifying x2 + -1x = 2450 Reorder the terms: -1x + x2 = 2450 Solving -1x + x2 = 2450 Solving for variable 'x'. Reorder the terms: -2450 + -1x + x2 = 2450 + -2450 Combine like terms: 2450 + -2450 = 0 -2450 + -1x + x2 = 0 Factor a trinomial. (-49 + -1x)(50 + -1x) = 0Subproblem 1
Set the factor '(-49 + -1x)' equal to zero and attempt to solve: Simplifying -49 + -1x = 0 Solving -49 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '49' to each side of the equation. -49 + 49 + -1x = 0 + 49 Combine like terms: -49 + 49 = 0 0 + -1x = 0 + 49 -1x = 0 + 49 Combine like terms: 0 + 49 = 49 -1x = 49 Divide each side by '-1'. x = -49 Simplifying x = -49Subproblem 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 = {-49, 50}
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