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Simplifying 8r2 + 47r = -35 Reorder the terms: 47r + 8r2 = -35 Solving 47r + 8r2 = -35 Solving for variable 'r'. Reorder the terms: 35 + 47r + 8r2 = -35 + 35 Combine like terms: -35 + 35 = 0 35 + 47r + 8r2 = 0 Factor a trinomial. (5 + r)(7 + 8r) = 0Subproblem 1
Set the factor '(5 + r)' equal to zero and attempt to solve: Simplifying 5 + r = 0 Solving 5 + r = 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 + r = 0 + -5 Combine like terms: 5 + -5 = 0 0 + r = 0 + -5 r = 0 + -5 Combine like terms: 0 + -5 = -5 r = -5 Simplifying r = -5Subproblem 2
Set the factor '(7 + 8r)' equal to zero and attempt to solve: Simplifying 7 + 8r = 0 Solving 7 + 8r = 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 + 8r = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 8r = 0 + -7 8r = 0 + -7 Combine like terms: 0 + -7 = -7 8r = -7 Divide each side by '8'. r = -0.875 Simplifying r = -0.875Solution
r = {-5, -0.875}
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