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Simplifying 9r2 + -30r + 21 = -4 Reorder the terms: 21 + -30r + 9r2 = -4 Solving 21 + -30r + 9r2 = -4 Solving for variable 'r'. Reorder the terms: 21 + 4 + -30r + 9r2 = -4 + 4 Combine like terms: 21 + 4 = 25 25 + -30r + 9r2 = -4 + 4 Combine like terms: -4 + 4 = 0 25 + -30r + 9r2 = 0 Factor a trinomial. (5 + -3r)(5 + -3r) = 0Subproblem 1
Set the factor '(5 + -3r)' equal to zero and attempt to solve: Simplifying 5 + -3r = 0 Solving 5 + -3r = 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 + -3r = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -3r = 0 + -5 -3r = 0 + -5 Combine like terms: 0 + -5 = -5 -3r = -5 Divide each side by '-3'. r = 1.666666667 Simplifying r = 1.666666667Subproblem 2
Set the factor '(5 + -3r)' equal to zero and attempt to solve: Simplifying 5 + -3r = 0 Solving 5 + -3r = 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 + -3r = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -3r = 0 + -5 -3r = 0 + -5 Combine like terms: 0 + -5 = -5 -3r = -5 Divide each side by '-3'. r = 1.666666667 Simplifying r = 1.666666667Solution
r = {1.666666667, 1.666666667}
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