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Simplifying x2 + -100x + 2464 = 0 Reorder the terms: 2464 + -100x + x2 = 0 Solving 2464 + -100x + x2 = 0 Solving for variable 'x'. Factor a trinomial. (44 + -1x)(56 + -1x) = 0Subproblem 1
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 = 44Subproblem 2
Set the factor '(56 + -1x)' equal to zero and attempt to solve: Simplifying 56 + -1x = 0 Solving 56 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-56' to each side of the equation. 56 + -56 + -1x = 0 + -56 Combine like terms: 56 + -56 = 0 0 + -1x = 0 + -56 -1x = 0 + -56 Combine like terms: 0 + -56 = -56 -1x = -56 Divide each side by '-1'. x = 56 Simplifying x = 56Solution
x = {44, 56}
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