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Simplifying 2r2 + 8r + -3 = -11 Reorder the terms: -3 + 8r + 2r2 = -11 Solving -3 + 8r + 2r2 = -11 Solving for variable 'r'. Reorder the terms: -3 + 11 + 8r + 2r2 = -11 + 11 Combine like terms: -3 + 11 = 8 8 + 8r + 2r2 = -11 + 11 Combine like terms: -11 + 11 = 0 8 + 8r + 2r2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(4 + 4r + r2) = 0 Factor a trinomial. 2((2 + r)(2 + r)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(2 + r)' equal to zero and attempt to solve: Simplifying 2 + r = 0 Solving 2 + r = 0 Move all terms containing r to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + r = 0 + -2 Combine like terms: 2 + -2 = 0 0 + r = 0 + -2 r = 0 + -2 Combine like terms: 0 + -2 = -2 r = -2 Simplifying r = -2Subproblem 2
Set the factor '(2 + r)' equal to zero and attempt to solve: Simplifying 2 + r = 0 Solving 2 + r = 0 Move all terms containing r to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + r = 0 + -2 Combine like terms: 2 + -2 = 0 0 + r = 0 + -2 r = 0 + -2 Combine like terms: 0 + -2 = -2 r = -2 Simplifying r = -2Solution
r = {-2, -2}
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