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Simplifying 3r3 + 6r = 144r Reorder the terms: 6r + 3r3 = 144r Solving 6r + 3r3 = 144r Solving for variable 'r'. Reorder the terms: 6r + -144r + 3r3 = 144r + -144r Combine like terms: 6r + -144r = -138r -138r + 3r3 = 144r + -144r Combine like terms: 144r + -144r = 0 -138r + 3r3 = 0 Factor out the Greatest Common Factor (GCF), '3r'. 3r(-46 + r2) = 0 Ignore the factor 3.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 '(-46 + r2)' equal to zero and attempt to solve: Simplifying -46 + r2 = 0 Solving -46 + r2 = 0 Move all terms containing r to the left, all other terms to the right. Add '46' to each side of the equation. -46 + 46 + r2 = 0 + 46 Combine like terms: -46 + 46 = 0 0 + r2 = 0 + 46 r2 = 0 + 46 Combine like terms: 0 + 46 = 46 r2 = 46 Simplifying r2 = 46 Take the square root of each side: r = {-6.782329983, 6.782329983}Solution
r = {0, -6.782329983, 6.782329983}
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