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Simplifying 15r2 + 52r + 32 = 0 Reorder the terms: 32 + 52r + 15r2 = 0 Solving 32 + 52r + 15r2 = 0 Solving for variable 'r'. Factor a trinomial. (8 + 3r)(4 + 5r) = 0Subproblem 1
Set the factor '(8 + 3r)' equal to zero and attempt to solve: Simplifying 8 + 3r = 0 Solving 8 + 3r = 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 + 3r = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 3r = 0 + -8 3r = 0 + -8 Combine like terms: 0 + -8 = -8 3r = -8 Divide each side by '3'. r = -2.666666667 Simplifying r = -2.666666667Subproblem 2
Set the factor '(4 + 5r)' equal to zero and attempt to solve: Simplifying 4 + 5r = 0 Solving 4 + 5r = 0 Move all terms containing r to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 5r = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 5r = 0 + -4 5r = 0 + -4 Combine like terms: 0 + -4 = -4 5r = -4 Divide each side by '5'. r = -0.8 Simplifying r = -0.8Solution
r = {-2.666666667, -0.8}
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