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Simplifying x2 + 58x + -1659 = 0 Reorder the terms: -1659 + 58x + x2 = 0 Solving -1659 + 58x + x2 = 0 Solving for variable 'x'. Factor a trinomial. (-79 + -1x)(21 + -1x) = 0Subproblem 1
Set the factor '(-79 + -1x)' equal to zero and attempt to solve: Simplifying -79 + -1x = 0 Solving -79 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '79' to each side of the equation. -79 + 79 + -1x = 0 + 79 Combine like terms: -79 + 79 = 0 0 + -1x = 0 + 79 -1x = 0 + 79 Combine like terms: 0 + 79 = 79 -1x = 79 Divide each side by '-1'. x = -79 Simplifying x = -79Subproblem 2
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 = 21Solution
x = {-79, 21}
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