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Simplifying -2r2 + 8r + -8 = 0 Reorder the terms: -8 + 8r + -2r2 = 0 Solving -8 + 8r + -2r2 = 0 Solving for variable 'r'. Factor out the Greatest Common Factor (GCF), '2'. 2(-4 + 4r + -1r2) = 0 Factor a trinomial. 2((-2 + r)(2 + -1r)) = 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 + -1r)' equal to zero and attempt to solve: Simplifying 2 + -1r = 0 Solving 2 + -1r = 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 + -1r = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1r = 0 + -2 -1r = 0 + -2 Combine like terms: 0 + -2 = -2 -1r = -2 Divide each side by '-1'. r = 2 Simplifying r = 2Solution
r = {2, 2}
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