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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((-16 + -9r)(9 + -1r)) = 0 Ignore the factor 2.Subproblem 1
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 = -1.777777778Subproblem 2
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 = 9Solution
r = {-1.777777778, 9}
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