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Simplifying 2r2 + 8r + -71 = -7 Reorder the terms: -71 + 8r + 2r2 = -7 Solving -71 + 8r + 2r2 = -7 Solving for variable 'r'. Reorder the terms: -71 + 7 + 8r + 2r2 = -7 + 7 Combine like terms: -71 + 7 = -64 -64 + 8r + 2r2 = -7 + 7 Combine like terms: -7 + 7 = 0 -64 + 8r + 2r2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-32 + 4r + r2) = 0 Factor a trinomial. 2((-8 + -1r)(4 + -1r)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-8 + -1r)' equal to zero and attempt to solve: Simplifying -8 + -1r = 0 Solving -8 + -1r = 0 Move all terms containing r to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + -1r = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -1r = 0 + 8 -1r = 0 + 8 Combine like terms: 0 + 8 = 8 -1r = 8 Divide each side by '-1'. r = -8 Simplifying r = -8Subproblem 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 = {-8, 4}
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