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Simplifying 15r2 + 4r + -32 = 0 Reorder the terms: -32 + 4r + 15r2 = 0 Solving -32 + 4r + 15r2 = 0 Solving for variable 'r'. Factor a trinomial. (-8 + -5r)(4 + -3r) = 0Subproblem 1
Set the factor '(-8 + -5r)' equal to zero and attempt to solve: Simplifying -8 + -5r = 0 Solving -8 + -5r = 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 + -5r = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -5r = 0 + 8 -5r = 0 + 8 Combine like terms: 0 + 8 = 8 -5r = 8 Divide each side by '-5'. r = -1.6 Simplifying r = -1.6Subproblem 2
Set the factor '(4 + -3r)' equal to zero and attempt to solve: Simplifying 4 + -3r = 0 Solving 4 + -3r = 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 + -3r = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -3r = 0 + -4 -3r = 0 + -4 Combine like terms: 0 + -4 = -4 -3r = -4 Divide each side by '-3'. r = 1.333333333 Simplifying r = 1.333333333Solution
r = {-1.6, 1.333333333}
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