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Simplifying -1x2 + 65x + -984 = 0 Reorder the terms: -984 + 65x + -1x2 = 0 Solving -984 + 65x + -1x2 = 0 Solving for variable 'x'. Factor a trinomial. (-41 + x)(24 + -1x) = 0Subproblem 1
Set the factor '(-41 + x)' equal to zero and attempt to solve: Simplifying -41 + x = 0 Solving -41 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '41' to each side of the equation. -41 + 41 + x = 0 + 41 Combine like terms: -41 + 41 = 0 0 + x = 0 + 41 x = 0 + 41 Combine like terms: 0 + 41 = 41 x = 41 Simplifying x = 41Subproblem 2
Set the factor '(24 + -1x)' equal to zero and attempt to solve: Simplifying 24 + -1x = 0 Solving 24 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + -1x = 0 + -24 Combine like terms: 24 + -24 = 0 0 + -1x = 0 + -24 -1x = 0 + -24 Combine like terms: 0 + -24 = -24 -1x = -24 Divide each side by '-1'. x = 24 Simplifying x = 24Solution
x = {41, 24}
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