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Simplifying -18r2 + 130r + 288 = 0 Reorder the terms: 288 + 130r + -18r2 = 0 Solving 288 + 130r + -18r2 = 0 Solving for variable 'r'. Factor out the Greatest Common Factor (GCF), '2'. 2(144 + 65r + -9r2) = 0 Factor a trinomial. 2((9 + -1r)(16 + 9r)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(9 + -1r)' equal to zero and attempt to solve: Simplifying 9 + -1r = 0 Solving 9 + -1r = 0 Move all terms containing r to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -1r = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -1r = 0 + -9 -1r = 0 + -9 Combine like terms: 0 + -9 = -9 -1r = -9 Divide each side by '-1'. r = 9 Simplifying r = 9Subproblem 2
Set the factor '(16 + 9r)' equal to zero and attempt to solve: Simplifying 16 + 9r = 0 Solving 16 + 9r = 0 Move all terms containing r to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + 9r = 0 + -16 Combine like terms: 16 + -16 = 0 0 + 9r = 0 + -16 9r = 0 + -16 Combine like terms: 0 + -16 = -16 9r = -16 Divide each side by '9'. r = -1.777777778 Simplifying r = -1.777777778Solution
r = {9, -1.777777778}
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