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Simplifying 11550 = x2 + 15x + 50 Reorder the terms: 11550 = 50 + 15x + x2 Solving 11550 = 50 + 15x + x2 Solving for variable 'x'. Combine like terms: 11550 + -50 = 11500 11500 + -15x + -1x2 = 50 + 15x + x2 + -50 + -15x + -1x2 Reorder the terms: 11500 + -15x + -1x2 = 50 + -50 + 15x + -15x + x2 + -1x2 Combine like terms: 50 + -50 = 0 11500 + -15x + -1x2 = 0 + 15x + -15x + x2 + -1x2 11500 + -15x + -1x2 = 15x + -15x + x2 + -1x2 Combine like terms: 15x + -15x = 0 11500 + -15x + -1x2 = 0 + x2 + -1x2 11500 + -15x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 11500 + -15x + -1x2 = 0 Factor a trinomial. (100 + -1x)(115 + x) = 0Subproblem 1
Set the factor '(100 + -1x)' equal to zero and attempt to solve: Simplifying 100 + -1x = 0 Solving 100 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-100' to each side of the equation. 100 + -100 + -1x = 0 + -100 Combine like terms: 100 + -100 = 0 0 + -1x = 0 + -100 -1x = 0 + -100 Combine like terms: 0 + -100 = -100 -1x = -100 Divide each side by '-1'. x = 100 Simplifying x = 100Subproblem 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 = {100, -115}
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