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Simplifying r2 + 20r + -92 = 4 Reorder the terms: -92 + 20r + r2 = 4 Solving -92 + 20r + r2 = 4 Solving for variable 'r'. Reorder the terms: -92 + -4 + 20r + r2 = 4 + -4 Combine like terms: -92 + -4 = -96 -96 + 20r + r2 = 4 + -4 Combine like terms: 4 + -4 = 0 -96 + 20r + r2 = 0 Factor a trinomial. (-24 + -1r)(4 + -1r) = 0Subproblem 1
Set the factor '(-24 + -1r)' equal to zero and attempt to solve: Simplifying -24 + -1r = 0 Solving -24 + -1r = 0 Move all terms containing r to the left, all other terms to the right. Add '24' to each side of the equation. -24 + 24 + -1r = 0 + 24 Combine like terms: -24 + 24 = 0 0 + -1r = 0 + 24 -1r = 0 + 24 Combine like terms: 0 + 24 = 24 -1r = 24 Divide each side by '-1'. r = -24 Simplifying r = -24Subproblem 2
Set the factor '(4 + -1r)' equal to zero and attempt to solve: Simplifying 4 + -1r = 0 Solving 4 + -1r = 0 Move all terms containing r to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1r = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1r = 0 + -4 -1r = 0 + -4 Combine like terms: 0 + -4 = -4 -1r = -4 Divide each side by '-1'. r = 4 Simplifying r = 4Solution
r = {-24, 4}
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