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Simplifying 3r2 + 7 = -10r Reorder the terms: 7 + 3r2 = -10r Solving 7 + 3r2 = -10r Solving for variable 'r'. Reorder the terms: 7 + 10r + 3r2 = -10r + 10r Combine like terms: -10r + 10r = 0 7 + 10r + 3r2 = 0 Factor a trinomial. (7 + 3r)(1 + r) = 0Subproblem 1
Set the factor '(7 + 3r)' equal to zero and attempt to solve: Simplifying 7 + 3r = 0 Solving 7 + 3r = 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 + 3r = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 3r = 0 + -7 3r = 0 + -7 Combine like terms: 0 + -7 = -7 3r = -7 Divide each side by '3'. r = -2.333333333 Simplifying r = -2.333333333Subproblem 2
Set the factor '(1 + r)' equal to zero and attempt to solve: Simplifying 1 + r = 0 Solving 1 + r = 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 + r = 0 + -1 Combine like terms: 1 + -1 = 0 0 + r = 0 + -1 r = 0 + -1 Combine like terms: 0 + -1 = -1 r = -1 Simplifying r = -1Solution
r = {-2.333333333, -1}
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