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Simplifying 2r2 + 20r = 288 Reorder the terms: 20r + 2r2 = 288 Solving 20r + 2r2 = 288 Solving for variable 'r'. Reorder the terms: -288 + 20r + 2r2 = 288 + -288 Combine like terms: 288 + -288 = 0 -288 + 20r + 2r2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-144 + 10r + r2) = 0 Factor a trinomial. 2((-18 + -1r)(8 + -1r)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-18 + -1r)' equal to zero and attempt to solve: Simplifying -18 + -1r = 0 Solving -18 + -1r = 0 Move all terms containing r to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 18 + -1r = 0 + 18 Combine like terms: -18 + 18 = 0 0 + -1r = 0 + 18 -1r = 0 + 18 Combine like terms: 0 + 18 = 18 -1r = 18 Divide each side by '-1'. r = -18 Simplifying r = -18Subproblem 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 = {-18, 8}
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