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Simplifying 10970 = x2 + 20x + 45 Reorder the terms: 10970 = 45 + 20x + x2 Solving 10970 = 45 + 20x + x2 Solving for variable 'x'. Combine like terms: 10970 + -45 = 10925 10925 + -20x + -1x2 = 45 + 20x + x2 + -45 + -20x + -1x2 Reorder the terms: 10925 + -20x + -1x2 = 45 + -45 + 20x + -20x + x2 + -1x2 Combine like terms: 45 + -45 = 0 10925 + -20x + -1x2 = 0 + 20x + -20x + x2 + -1x2 10925 + -20x + -1x2 = 20x + -20x + x2 + -1x2 Combine like terms: 20x + -20x = 0 10925 + -20x + -1x2 = 0 + x2 + -1x2 10925 + -20x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 10925 + -20x + -1x2 = 0 Factor a trinomial. (95 + -1x)(115 + x) = 0Subproblem 1
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 = 95Subproblem 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 = {95, -115}
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