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Simplifying 8r2 + -47r = 6 Reorder the terms: -47r + 8r2 = 6 Solving -47r + 8r2 = 6 Solving for variable 'r'. Reorder the terms: -6 + -47r + 8r2 = 6 + -6 Combine like terms: 6 + -6 = 0 -6 + -47r + 8r2 = 0 Factor a trinomial. (-1 + -8r)(6 + -1r) = 0Subproblem 1
Set the factor '(-1 + -8r)' equal to zero and attempt to solve: Simplifying -1 + -8r = 0 Solving -1 + -8r = 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 + -8r = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -8r = 0 + 1 -8r = 0 + 1 Combine like terms: 0 + 1 = 1 -8r = 1 Divide each side by '-8'. r = -0.125 Simplifying r = -0.125Subproblem 2
Set the factor '(6 + -1r)' equal to zero and attempt to solve: Simplifying 6 + -1r = 0 Solving 6 + -1r = 0 Move all terms containing r to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -1r = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1r = 0 + -6 -1r = 0 + -6 Combine like terms: 0 + -6 = -6 -1r = -6 Divide each side by '-1'. r = 6 Simplifying r = 6Solution
r = {-0.125, 6}
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