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Simplifying 14r2 + 3r + -5 = 0 Reorder the terms: -5 + 3r + 14r2 = 0 Solving -5 + 3r + 14r2 = 0 Solving for variable 'r'. Factor a trinomial. (-5 + -7r)(1 + -2r) = 0Subproblem 1
Set the factor '(-5 + -7r)' equal to zero and attempt to solve: Simplifying -5 + -7r = 0 Solving -5 + -7r = 0 Move all terms containing r to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + -7r = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -7r = 0 + 5 -7r = 0 + 5 Combine like terms: 0 + 5 = 5 -7r = 5 Divide each side by '-7'. r = -0.7142857143 Simplifying r = -0.7142857143Subproblem 2
Set the factor '(1 + -2r)' equal to zero and attempt to solve: Simplifying 1 + -2r = 0 Solving 1 + -2r = 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 + -2r = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -2r = 0 + -1 -2r = 0 + -1 Combine like terms: 0 + -1 = -1 -2r = -1 Divide each side by '-2'. r = 0.5 Simplifying r = 0.5Solution
r = {-0.7142857143, 0.5}
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