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Simplifying 7r2 + -31r + 30 = 0 Reorder the terms: 30 + -31r + 7r2 = 0 Solving 30 + -31r + 7r2 = 0 Solving for variable 'r'. Factor a trinomial. (10 + -7r)(3 + -1r) = 0Subproblem 1
Set the factor '(10 + -7r)' equal to zero and attempt to solve: Simplifying 10 + -7r = 0 Solving 10 + -7r = 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 + -7r = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -7r = 0 + -10 -7r = 0 + -10 Combine like terms: 0 + -10 = -10 -7r = -10 Divide each side by '-7'. r = 1.428571429 Simplifying r = 1.428571429Subproblem 2
Set the factor '(3 + -1r)' equal to zero and attempt to solve: Simplifying 3 + -1r = 0 Solving 3 + -1r = 0 Move all terms containing r to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1r = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1r = 0 + -3 -1r = 0 + -3 Combine like terms: 0 + -3 = -3 -1r = -3 Divide each side by '-1'. r = 3 Simplifying r = 3Solution
r = {1.428571429, 3}
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