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Simplifying r2 + 2r + -17 = 7 Reorder the terms: -17 + 2r + r2 = 7 Solving -17 + 2r + r2 = 7 Solving for variable 'r'. Reorder the terms: -17 + -7 + 2r + r2 = 7 + -7 Combine like terms: -17 + -7 = -24 -24 + 2r + r2 = 7 + -7 Combine like terms: 7 + -7 = 0 -24 + 2r + r2 = 0 Factor a trinomial. (-6 + -1r)(4 + -1r) = 0Subproblem 1
Set the factor '(-6 + -1r)' equal to zero and attempt to solve: Simplifying -6 + -1r = 0 Solving -6 + -1r = 0 Move all terms containing r to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + -1r = 0 + 6 Combine like terms: -6 + 6 = 0 0 + -1r = 0 + 6 -1r = 0 + 6 Combine like terms: 0 + 6 = 6 -1r = 6 Divide each side by '-1'. r = -6 Simplifying r = -6Subproblem 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 = {-6, 4}
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