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Simplifying 5r2 + 55r = -140 Reorder the terms: 55r + 5r2 = -140 Solving 55r + 5r2 = -140 Solving for variable 'r'. Reorder the terms: 140 + 55r + 5r2 = -140 + 140 Combine like terms: -140 + 140 = 0 140 + 55r + 5r2 = 0 Factor out the Greatest Common Factor (GCF), '5'. 5(28 + 11r + r2) = 0 Factor a trinomial. 5((7 + r)(4 + r)) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(7 + r)' equal to zero and attempt to solve: Simplifying 7 + r = 0 Solving 7 + r = 0 Move all terms containing r to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + r = 0 + -7 Combine like terms: 7 + -7 = 0 0 + r = 0 + -7 r = 0 + -7 Combine like terms: 0 + -7 = -7 r = -7 Simplifying r = -7Subproblem 2
Set the factor '(4 + r)' equal to zero and attempt to solve: Simplifying 4 + r = 0 Solving 4 + r = 0 Move all terms containing r to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + r = 0 + -4 Combine like terms: 4 + -4 = 0 0 + r = 0 + -4 r = 0 + -4 Combine like terms: 0 + -4 = -4 r = -4 Simplifying r = -4Solution
r = {-7, -4}
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