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Simplifying 3r2 + 2r + -40 = 0 Reorder the terms: -40 + 2r + 3r2 = 0 Solving -40 + 2r + 3r2 = 0 Solving for variable 'r'. Factor a trinomial. (-4 + -1r)(10 + -3r) = 0Subproblem 1
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 = -4Subproblem 2
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 = 3.333333333Solution
r = {-4, 3.333333333}
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