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Simplifying 15r2 + 13r + -16 = 4 Reorder the terms: -16 + 13r + 15r2 = 4 Solving -16 + 13r + 15r2 = 4 Solving for variable 'r'. Reorder the terms: -16 + -4 + 13r + 15r2 = 4 + -4 Combine like terms: -16 + -4 = -20 -20 + 13r + 15r2 = 4 + -4 Combine like terms: 4 + -4 = 0 -20 + 13r + 15r2 = 0 Factor a trinomial. (-5 + -3r)(4 + -5r) = 0Subproblem 1
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 = -1.666666667Subproblem 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 = {-1.666666667, 0.8}
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