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Simplifying 3r2 + 6r * 13.5 = 0 Reorder the terms for easier multiplication: 3r2 + 6 * 13.5r = 0 Multiply 6 * 13.5 3r2 + 81r = 0 Reorder the terms: 81r + 3r2 = 0 Solving 81r + 3r2 = 0 Solving for variable 'r'. Factor out the Greatest Common Factor (GCF), '3r'. 3r(27 + r) = 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 '(27 + r)' equal to zero and attempt to solve: Simplifying 27 + r = 0 Solving 27 + r = 0 Move all terms containing r to the left, all other terms to the right. Add '-27' to each side of the equation. 27 + -27 + r = 0 + -27 Combine like terms: 27 + -27 = 0 0 + r = 0 + -27 r = 0 + -27 Combine like terms: 0 + -27 = -27 r = -27 Simplifying r = -27Solution
r = {0, -27}
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