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Simplifying (3r)(3r) = 8r Remove parenthesis around (3r) 3r(3r) = 8r Remove parenthesis around (3r) 3r * 3r = 8r Reorder the terms for easier multiplication: 3 * 3r * r = 8r Multiply 3 * 3 9r * r = 8r Multiply r * r 9r2 = 8r Solving 9r2 = 8r Solving for variable 'r'. Reorder the terms: -8r + 9r2 = 8r + -8r Combine like terms: 8r + -8r = 0 -8r + 9r2 = 0 Factor out the Greatest Common Factor (GCF), 'r'. r(-8 + 9r) = 0Subproblem 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 '(-8 + 9r)' equal to zero and attempt to solve: Simplifying -8 + 9r = 0 Solving -8 + 9r = 0 Move all terms containing r to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + 9r = 0 + 8 Combine like terms: -8 + 8 = 0 0 + 9r = 0 + 8 9r = 0 + 8 Combine like terms: 0 + 8 = 8 9r = 8 Divide each side by '9'. r = 0.8888888889 Simplifying r = 0.8888888889Solution
r = {0, 0.8888888889}
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