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Simplifying x2 + 20x + -10925 = 0 Reorder the terms: -10925 + 20x + x2 = 0 Solving -10925 + 20x + x2 = 0 Solving for variable 'x'. Factor a trinomial. (-115 + -1x)(95 + -1x) = 0Subproblem 1
Set the factor '(-115 + -1x)' equal to zero and attempt to solve: Simplifying -115 + -1x = 0 Solving -115 + -1x = 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 + -1x = 0 + 115 Combine like terms: -115 + 115 = 0 0 + -1x = 0 + 115 -1x = 0 + 115 Combine like terms: 0 + 115 = 115 -1x = 115 Divide each side by '-1'. x = -115 Simplifying x = -115Subproblem 2
Set the factor '(95 + -1x)' equal to zero and attempt to solve: Simplifying 95 + -1x = 0 Solving 95 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-95' to each side of the equation. 95 + -95 + -1x = 0 + -95 Combine like terms: 95 + -95 = 0 0 + -1x = 0 + -95 -1x = 0 + -95 Combine like terms: 0 + -95 = -95 -1x = -95 Divide each side by '-1'. x = 95 Simplifying x = 95Solution
x = {-115, 95}
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