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Simplifying 2r2 + -80 = 6r Reorder the terms: -80 + 2r2 = 6r Solving -80 + 2r2 = 6r Solving for variable 'r'. Reorder the terms: -80 + -6r + 2r2 = 6r + -6r Combine like terms: 6r + -6r = 0 -80 + -6r + 2r2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-40 + -3r + r2) = 0 Factor a trinomial. 2((-5 + -1r)(8 + -1r)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-5 + -1r)' equal to zero and attempt to solve: Simplifying -5 + -1r = 0 Solving -5 + -1r = 0 Move all terms containing r to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + -1r = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -1r = 0 + 5 -1r = 0 + 5 Combine like terms: 0 + 5 = 5 -1r = 5 Divide each side by '-1'. r = -5 Simplifying r = -5Subproblem 2
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 = 8Solution
r = {-5, 8}
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