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Simplifying 4r2 = -28r + -40 Reorder the terms: 4r2 = -40 + -28r Solving 4r2 = -40 + -28r Solving for variable 'r'. Reorder the terms: 40 + 28r + 4r2 = -40 + -28r + 40 + 28r Reorder the terms: 40 + 28r + 4r2 = -40 + 40 + -28r + 28r Combine like terms: -40 + 40 = 0 40 + 28r + 4r2 = 0 + -28r + 28r 40 + 28r + 4r2 = -28r + 28r Combine like terms: -28r + 28r = 0 40 + 28r + 4r2 = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(10 + 7r + r2) = 0 Factor a trinomial. 4((5 + r)(2 + r)) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(5 + r)' equal to zero and attempt to solve: Simplifying 5 + r = 0 Solving 5 + r = 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 + r = 0 + -5 Combine like terms: 5 + -5 = 0 0 + r = 0 + -5 r = 0 + -5 Combine like terms: 0 + -5 = -5 r = -5 Simplifying r = -5Subproblem 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 = {-5, -2}
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