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Simplifying x2 + -65x + 924 = 0 Reorder the terms: 924 + -65x + x2 = 0 Solving 924 + -65x + x2 = 0 Solving for variable 'x'. Factor a trinomial. (21 + -1x)(44 + -1x) = 0Subproblem 1
Set the factor '(21 + -1x)' equal to zero and attempt to solve: Simplifying 21 + -1x = 0 Solving 21 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-21' to each side of the equation. 21 + -21 + -1x = 0 + -21 Combine like terms: 21 + -21 = 0 0 + -1x = 0 + -21 -1x = 0 + -21 Combine like terms: 0 + -21 = -21 -1x = -21 Divide each side by '-1'. x = 21 Simplifying x = 21Subproblem 2
Set the factor '(44 + -1x)' equal to zero and attempt to solve: Simplifying 44 + -1x = 0 Solving 44 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-44' to each side of the equation. 44 + -44 + -1x = 0 + -44 Combine like terms: 44 + -44 = 0 0 + -1x = 0 + -44 -1x = 0 + -44 Combine like terms: 0 + -44 = -44 -1x = -44 Divide each side by '-1'. x = 44 Simplifying x = 44Solution
x = {21, 44}
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