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Simplifying x(62 + -1x) = 792 (62 * x + -1x * x) = 792 (62x + -1x2) = 792 Solving 62x + -1x2 = 792 Solving for variable 'x'. Reorder the terms: -792 + 62x + -1x2 = 792 + -792 Combine like terms: 792 + -792 = 0 -792 + 62x + -1x2 = 0 Factor a trinomial. (-44 + x)(18 + -1x) = 0Subproblem 1
Set the factor '(-44 + x)' equal to zero and attempt to solve: Simplifying -44 + x = 0 Solving -44 + x = 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 + x = 0 + 44 Combine like terms: -44 + 44 = 0 0 + x = 0 + 44 x = 0 + 44 Combine like terms: 0 + 44 = 44 x = 44 Simplifying x = 44Subproblem 2
Set the factor '(18 + -1x)' equal to zero and attempt to solve: Simplifying 18 + -1x = 0 Solving 18 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + -1x = 0 + -18 Combine like terms: 18 + -18 = 0 0 + -1x = 0 + -18 -1x = 0 + -18 Combine like terms: 0 + -18 = -18 -1x = -18 Divide each side by '-1'. x = 18 Simplifying x = 18Solution
x = {44, 18}
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