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Simplifying 10400 = x2 + 25x + 50 Reorder the terms: 10400 = 50 + 25x + x2 Solving 10400 = 50 + 25x + x2 Solving for variable 'x'. Combine like terms: 10400 + -50 = 10350 10350 + -25x + -1x2 = 50 + 25x + x2 + -50 + -25x + -1x2 Reorder the terms: 10350 + -25x + -1x2 = 50 + -50 + 25x + -25x + x2 + -1x2 Combine like terms: 50 + -50 = 0 10350 + -25x + -1x2 = 0 + 25x + -25x + x2 + -1x2 10350 + -25x + -1x2 = 25x + -25x + x2 + -1x2 Combine like terms: 25x + -25x = 0 10350 + -25x + -1x2 = 0 + x2 + -1x2 10350 + -25x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 10350 + -25x + -1x2 = 0 Factor a trinomial. (90 + -1x)(115 + 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 '(115 + x)' equal to zero and attempt to solve: Simplifying 115 + x = 0 Solving 115 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-115' to each side of the equation. 115 + -115 + x = 0 + -115 Combine like terms: 115 + -115 = 0 0 + x = 0 + -115 x = 0 + -115 Combine like terms: 0 + -115 = -115 x = -115 Simplifying x = -115Solution
x = {90, -115}
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