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Simplifying x2 + -17x + -2280 = 0 Reorder the terms: -2280 + -17x + x2 = 0 Solving -2280 + -17x + x2 = 0 Solving for variable 'x'. Factor a trinomial. (-40 + -1x)(57 + -1x) = 0Subproblem 1
Set the factor '(-40 + -1x)' equal to zero and attempt to solve: Simplifying -40 + -1x = 0 Solving -40 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '40' to each side of the equation. -40 + 40 + -1x = 0 + 40 Combine like terms: -40 + 40 = 0 0 + -1x = 0 + 40 -1x = 0 + 40 Combine like terms: 0 + 40 = 40 -1x = 40 Divide each side by '-1'. x = -40 Simplifying x = -40Subproblem 2
Set the factor '(57 + -1x)' equal to zero and attempt to solve: Simplifying 57 + -1x = 0 Solving 57 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-57' to each side of the equation. 57 + -57 + -1x = 0 + -57 Combine like terms: 57 + -57 = 0 0 + -1x = 0 + -57 -1x = 0 + -57 Combine like terms: 0 + -57 = -57 -1x = -57 Divide each side by '-1'. x = 57 Simplifying x = 57Solution
x = {-40, 57}
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