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Simplifying 6r2 + 28r = -16 Reorder the terms: 28r + 6r2 = -16 Solving 28r + 6r2 = -16 Solving for variable 'r'. Reorder the terms: 16 + 28r + 6r2 = -16 + 16 Combine like terms: -16 + 16 = 0 16 + 28r + 6r2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(8 + 14r + 3r2) = 0 Factor a trinomial. 2((4 + r)(2 + 3r)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(4 + r)' equal to zero and attempt to solve: Simplifying 4 + r = 0 Solving 4 + r = 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 + r = 0 + -4 Combine like terms: 4 + -4 = 0 0 + r = 0 + -4 r = 0 + -4 Combine like terms: 0 + -4 = -4 r = -4 Simplifying r = -4Subproblem 2
Set the factor '(2 + 3r)' equal to zero and attempt to solve: Simplifying 2 + 3r = 0 Solving 2 + 3r = 0 Move all terms containing r to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 3r = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 3r = 0 + -2 3r = 0 + -2 Combine like terms: 0 + -2 = -2 3r = -2 Divide each side by '3'. r = -0.6666666667 Simplifying r = -0.6666666667Solution
r = {-4, -0.6666666667}
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