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Simplifying -12r2 + -38r + -16 = 0 Reorder the terms: -16 + -38r + -12r2 = 0 Solving -16 + -38r + -12r2 = 0 Solving for variable 'r'. Factor out the Greatest Common Factor (GCF), '-2'. -2(8 + 19r + 6r2) = 0 Factor a trinomial. -2((8 + 3r)(1 + 2r)) = 0 Ignore the factor -2.Subproblem 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 '(1 + 2r)' equal to zero and attempt to solve: Simplifying 1 + 2r = 0 Solving 1 + 2r = 0 Move all terms containing r to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 2r = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 2r = 0 + -1 2r = 0 + -1 Combine like terms: 0 + -1 = -1 2r = -1 Divide each side by '2'. r = -0.5 Simplifying r = -0.5Solution
r = {-2.666666667, -0.5}
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