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Simplifying 11465 = x2 + -25x + 65 Reorder the terms: 11465 = 65 + -25x + x2 Solving 11465 = 65 + -25x + x2 Solving for variable 'x'. Combine like terms: 11465 + -65 = 11400 11400 + 25x + -1x2 = 65 + -25x + x2 + -65 + 25x + -1x2 Reorder the terms: 11400 + 25x + -1x2 = 65 + -65 + -25x + 25x + x2 + -1x2 Combine like terms: 65 + -65 = 0 11400 + 25x + -1x2 = 0 + -25x + 25x + x2 + -1x2 11400 + 25x + -1x2 = -25x + 25x + x2 + -1x2 Combine like terms: -25x + 25x = 0 11400 + 25x + -1x2 = 0 + x2 + -1x2 11400 + 25x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 11400 + 25x + -1x2 = 0 Factor a trinomial. (120 + -1x)(95 + x) = 0Subproblem 1
Set the factor '(120 + -1x)' equal to zero and attempt to solve: Simplifying 120 + -1x = 0 Solving 120 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-120' to each side of the equation. 120 + -120 + -1x = 0 + -120 Combine like terms: 120 + -120 = 0 0 + -1x = 0 + -120 -1x = 0 + -120 Combine like terms: 0 + -120 = -120 -1x = -120 Divide each side by '-1'. x = 120 Simplifying x = 120Subproblem 2
Set the factor '(95 + x)' equal to zero and attempt to solve: Simplifying 95 + x = 0 Solving 95 + x = 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 + x = 0 + -95 Combine like terms: 95 + -95 = 0 0 + x = 0 + -95 x = 0 + -95 Combine like terms: 0 + -95 = -95 x = -95 Simplifying x = -95Solution
x = {120, -95}
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