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Simplifying x2 = 13x + 558 Reorder the terms: x2 = 558 + 13x Solving x2 = 558 + 13x Solving for variable 'x'. Reorder the terms: -558 + -13x + x2 = 558 + 13x + -558 + -13x Reorder the terms: -558 + -13x + x2 = 558 + -558 + 13x + -13x Combine like terms: 558 + -558 = 0 -558 + -13x + x2 = 0 + 13x + -13x -558 + -13x + x2 = 13x + -13x Combine like terms: 13x + -13x = 0 -558 + -13x + x2 = 0 Factor a trinomial. (-18 + -1x)(31 + -1x) = 0Subproblem 1
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 = -18Subproblem 2
Set the factor '(31 + -1x)' equal to zero and attempt to solve: Simplifying 31 + -1x = 0 Solving 31 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-31' to each side of the equation. 31 + -31 + -1x = 0 + -31 Combine like terms: 31 + -31 = 0 0 + -1x = 0 + -31 -1x = 0 + -31 Combine like terms: 0 + -31 = -31 -1x = -31 Divide each side by '-1'. x = 31 Simplifying x = 31Solution
x = {-18, 31}
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