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Simplifying 6r2 + 35r + -6 = 0 Reorder the terms: -6 + 35r + 6r2 = 0 Solving -6 + 35r + 6r2 = 0 Solving for variable 'r'. Factor a trinomial. (-6 + -1r)(1 + -6r) = 0Subproblem 1
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 = -6Subproblem 2
Set the factor '(1 + -6r)' equal to zero and attempt to solve: Simplifying 1 + -6r = 0 Solving 1 + -6r = 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 + -6r = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -6r = 0 + -1 -6r = 0 + -1 Combine like terms: 0 + -1 = -1 -6r = -1 Divide each side by '-6'. r = 0.1666666667 Simplifying r = 0.1666666667Solution
r = {-6, 0.1666666667}
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