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Simplifying -2r2 + -8r = 6 Reorder the terms: -8r + -2r2 = 6 Solving -8r + -2r2 = 6 Solving for variable 'r'. Reorder the terms: -6 + -8r + -2r2 = 6 + -6 Combine like terms: 6 + -6 = 0 -6 + -8r + -2r2 = 0 Factor out the Greatest Common Factor (GCF), '-2'. -2(3 + 4r + r2) = 0 Factor a trinomial. -2((3 + r)(1 + r)) = 0 Ignore the factor -2.Subproblem 1
Set the factor '(3 + r)' equal to zero and attempt to solve: Simplifying 3 + r = 0 Solving 3 + r = 0 Move all terms containing r to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + r = 0 + -3 Combine like terms: 3 + -3 = 0 0 + r = 0 + -3 r = 0 + -3 Combine like terms: 0 + -3 = -3 r = -3 Simplifying r = -3Subproblem 2
Set the factor '(1 + r)' equal to zero and attempt to solve: Simplifying 1 + r = 0 Solving 1 + r = 0 Move all terms containing r to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + r = 0 + -1 Combine like terms: 1 + -1 = 0 0 + r = 0 + -1 r = 0 + -1 Combine like terms: 0 + -1 = -1 r = -1 Simplifying r = -1Solution
r = {-3, -1}
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