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Simplifying 6r2 + 1 = -7r Reorder the terms: 1 + 6r2 = -7r Solving 1 + 6r2 = -7r Solving for variable 'r'. Reorder the terms: 1 + 7r + 6r2 = -7r + 7r Combine like terms: -7r + 7r = 0 1 + 7r + 6r2 = 0 Factor a trinomial. (1 + r)(1 + 6r) = 0Subproblem 1
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 = -1Subproblem 2
Set the factor '(1 + 6r)' equal to zero and attempt to solve: Simplifying 1 + 6r = 0 Solving 1 + 6r = 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 + 6r = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 6r = 0 + -1 6r = 0 + -1 Combine like terms: 0 + -1 = -1 6r = -1 Divide each side by '6'. r = -0.1666666667 Simplifying r = -0.1666666667Solution
r = {-1, -0.1666666667}
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