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Simplifying 9r6 + 30r3 + 25 = 0 Reorder the terms: 25 + 30r3 + 9r6 = 0 Solving 25 + 30r3 + 9r6 = 0 Solving for variable 'r'. Factor a trinomial. (5 + 3r3)(5 + 3r3) = 0Subproblem 1
Set the factor '(5 + 3r3)' equal to zero and attempt to solve: Simplifying 5 + 3r3 = 0 Solving 5 + 3r3 = 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 + 3r3 = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 3r3 = 0 + -5 3r3 = 0 + -5 Combine like terms: 0 + -5 = -5 3r3 = -5 Divide each side by '3'. r3 = -1.666666667 Simplifying r3 = -1.666666667 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(5 + 3r3)' equal to zero and attempt to solve: Simplifying 5 + 3r3 = 0 Solving 5 + 3r3 = 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 + 3r3 = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 3r3 = 0 + -5 3r3 = 0 + -5 Combine like terms: 0 + -5 = -5 3r3 = -5 Divide each side by '3'. r3 = -1.666666667 Simplifying r3 = -1.666666667 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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