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Simplifying 6r2 + 25r + 21 = 0 Reorder the terms: 21 + 25r + 6r2 = 0 Solving 21 + 25r + 6r2 = 0 Solving for variable 'r'. Factor a trinomial. (3 + r)(7 + 6r) = 0Subproblem 1
Set the factor '(3 + r)' equal to zero and attempt to solve: Simplifying 3 + r = 0 Solving 3 + r = 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 + r = 0 + -3 Combine like terms: 3 + -3 = 0 0 + r = 0 + -3 r = 0 + -3 Combine like terms: 0 + -3 = -3 r = -3 Simplifying r = -3Subproblem 2
Set the factor '(7 + 6r)' equal to zero and attempt to solve: Simplifying 7 + 6r = 0 Solving 7 + 6r = 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 + 6r = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 6r = 0 + -7 6r = 0 + -7 Combine like terms: 0 + -7 = -7 6r = -7 Divide each side by '6'. r = -1.166666667 Simplifying r = -1.166666667Solution
r = {-3, -1.166666667}
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