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Simplifying x2 + -47x = 1704 Reorder the terms: -47x + x2 = 1704 Solving -47x + x2 = 1704 Solving for variable 'x'. Reorder the terms: -1704 + -47x + x2 = 1704 + -1704 Combine like terms: 1704 + -1704 = 0 -1704 + -47x + x2 = 0 Factor a trinomial. (-24 + -1x)(71 + -1x) = 0Subproblem 1
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 = -24Subproblem 2
Set the factor '(71 + -1x)' equal to zero and attempt to solve: Simplifying 71 + -1x = 0 Solving 71 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-71' to each side of the equation. 71 + -71 + -1x = 0 + -71 Combine like terms: 71 + -71 = 0 0 + -1x = 0 + -71 -1x = 0 + -71 Combine like terms: 0 + -71 = -71 -1x = -71 Divide each side by '-1'. x = 71 Simplifying x = 71Solution
x = {-24, 71}
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