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Simplifying 6r2 + -7r + -90 = 0 Reorder the terms: -90 + -7r + 6r2 = 0 Solving -90 + -7r + 6r2 = 0 Solving for variable 'r'. Factor a trinomial. (-10 + -3r)(9 + -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 '(9 + -2r)' equal to zero and attempt to solve: Simplifying 9 + -2r = 0 Solving 9 + -2r = 0 Move all terms containing r to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -2r = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -2r = 0 + -9 -2r = 0 + -9 Combine like terms: 0 + -9 = -9 -2r = -9 Divide each side by '-2'. r = 4.5 Simplifying r = 4.5Solution
r = {-3.333333333, 4.5}
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