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Simplifying 2r2 + 12r = 2720 Reorder the terms: 12r + 2r2 = 2720 Solving 12r + 2r2 = 2720 Solving for variable 'r'. Reorder the terms: -2720 + 12r + 2r2 = 2720 + -2720 Combine like terms: 2720 + -2720 = 0 -2720 + 12r + 2r2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-1360 + 6r + r2) = 0 Factor a trinomial. 2((-40 + -1r)(34 + -1r)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-40 + -1r)' equal to zero and attempt to solve: Simplifying -40 + -1r = 0 Solving -40 + -1r = 0 Move all terms containing r to the left, all other terms to the right. Add '40' to each side of the equation. -40 + 40 + -1r = 0 + 40 Combine like terms: -40 + 40 = 0 0 + -1r = 0 + 40 -1r = 0 + 40 Combine like terms: 0 + 40 = 40 -1r = 40 Divide each side by '-1'. r = -40 Simplifying r = -40Subproblem 2
Set the factor '(34 + -1r)' equal to zero and attempt to solve: Simplifying 34 + -1r = 0 Solving 34 + -1r = 0 Move all terms containing r to the left, all other terms to the right. Add '-34' to each side of the equation. 34 + -34 + -1r = 0 + -34 Combine like terms: 34 + -34 = 0 0 + -1r = 0 + -34 -1r = 0 + -34 Combine like terms: 0 + -34 = -34 -1r = -34 Divide each side by '-1'. r = 34 Simplifying r = 34Solution
r = {-40, 34}
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