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Simplifying 7r(3r2 + 2) = 0 Reorder the terms: 7r(2 + 3r2) = 0 (2 * 7r + 3r2 * 7r) = 0 (14r + 21r3) = 0 Solving 14r + 21r3 = 0 Solving for variable 'r'. Factor out the Greatest Common Factor (GCF), '7r'. 7r(2 + 3r2) = 0 Ignore the factor 7.Subproblem 1
Set the factor 'r' equal to zero and attempt to solve: Simplifying r = 0 Solving r = 0 Move all terms containing r to the left, all other terms to the right. Simplifying r = 0Subproblem 2
Set the factor '(2 + 3r2)' equal to zero and attempt to solve: Simplifying 2 + 3r2 = 0 Solving 2 + 3r2 = 0 Move all terms containing r to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 3r2 = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 3r2 = 0 + -2 3r2 = 0 + -2 Combine like terms: 0 + -2 = -2 3r2 = -2 Divide each side by '3'. r2 = -0.6666666667 Simplifying r2 = -0.6666666667 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
r = {0}
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