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Simplifying 15r2 + 19r + -56 = 0 Reorder the terms: -56 + 19r + 15r2 = 0 Solving -56 + 19r + 15r2 = 0 Solving for variable 'r'. Factor a trinomial. (-8 + -3r)(7 + -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 '(7 + -5r)' equal to zero and attempt to solve: Simplifying 7 + -5r = 0 Solving 7 + -5r = 0 Move all terms containing r to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -5r = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -5r = 0 + -7 -5r = 0 + -7 Combine like terms: 0 + -7 = -7 -5r = -7 Divide each side by '-5'. r = 1.4 Simplifying r = 1.4Solution
r = {-2.666666667, 1.4}
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