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Simplifying 6r2 + -23r + -4 = 0 Reorder the terms: -4 + -23r + 6r2 = 0 Solving -4 + -23r + 6r2 = 0 Solving for variable 'r'. Factor a trinomial. (-1 + -6r)(4 + -1r) = 0Subproblem 1
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 = -0.1666666667Subproblem 2
Set the factor '(4 + -1r)' equal to zero and attempt to solve: Simplifying 4 + -1r = 0 Solving 4 + -1r = 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 + -1r = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1r = 0 + -4 -1r = 0 + -4 Combine like terms: 0 + -4 = -4 -1r = -4 Divide each side by '-1'. r = 4 Simplifying r = 4Solution
r = {-0.1666666667, 4}
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