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Simplifying 8r2 + -45r + -18 = 0 Reorder the terms: -18 + -45r + 8r2 = 0 Solving -18 + -45r + 8r2 = 0 Solving for variable 'r'. Factor a trinomial. (-3 + -8r)(6 + -1r) = 0Subproblem 1
Set the factor '(-3 + -8r)' equal to zero and attempt to solve: Simplifying -3 + -8r = 0 Solving -3 + -8r = 0 Move all terms containing r to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -8r = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -8r = 0 + 3 -8r = 0 + 3 Combine like terms: 0 + 3 = 3 -8r = 3 Divide each side by '-8'. r = -0.375 Simplifying r = -0.375Subproblem 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 = {-0.375, 6}
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