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Simplifying -4r2 + -8r + -4 = 0 Reorder the terms: -4 + -8r + -4r2 = 0 Solving -4 + -8r + -4r2 = 0 Solving for variable 'r'. Factor out the Greatest Common Factor (GCF), '-4'. -4(1 + 2r + r2) = 0 Factor a trinomial. -4((1 + r)(1 + r)) = 0 Ignore the factor -4.Subproblem 1
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 = -1Subproblem 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 = {-1, -1}
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