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Simplifying 6r2 + -1r + -70 = 0 Reorder the terms: -70 + -1r + 6r2 = 0 Solving -70 + -1r + 6r2 = 0 Solving for variable 'r'. Factor a trinomial. (-10 + -3r)(7 + -2r) = 0Subproblem 1
Set the factor '(-10 + -3r)' equal to zero and attempt to solve: Simplifying -10 + -3r = 0 Solving -10 + -3r = 0 Move all terms containing r to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + -3r = 0 + 10 Combine like terms: -10 + 10 = 0 0 + -3r = 0 + 10 -3r = 0 + 10 Combine like terms: 0 + 10 = 10 -3r = 10 Divide each side by '-3'. r = -3.333333333 Simplifying r = -3.333333333Subproblem 2
Set the factor '(7 + -2r)' equal to zero and attempt to solve: Simplifying 7 + -2r = 0 Solving 7 + -2r = 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 + -2r = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -2r = 0 + -7 -2r = 0 + -7 Combine like terms: 0 + -7 = -7 -2r = -7 Divide each side by '-2'. r = 3.5 Simplifying r = 3.5Solution
r = {-3.333333333, 3.5}
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