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Simplifying 15r2 + 52r + 45 = 0 Reorder the terms: 45 + 52r + 15r2 = 0 Solving 45 + 52r + 15r2 = 0 Solving for variable 'r'. Factor a trinomial. (9 + 5r)(5 + 3r) = 0Subproblem 1
Set the factor '(9 + 5r)' equal to zero and attempt to solve: Simplifying 9 + 5r = 0 Solving 9 + 5r = 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 + 5r = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 5r = 0 + -9 5r = 0 + -9 Combine like terms: 0 + -9 = -9 5r = -9 Divide each side by '5'. r = -1.8 Simplifying r = -1.8Subproblem 2
Set the factor '(5 + 3r)' equal to zero and attempt to solve: Simplifying 5 + 3r = 0 Solving 5 + 3r = 0 Move all terms containing r to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 3r = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 3r = 0 + -5 3r = 0 + -5 Combine like terms: 0 + -5 = -5 3r = -5 Divide each side by '3'. r = -1.666666667 Simplifying r = -1.666666667Solution
r = {-1.8, -1.666666667}
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