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Simplifying 6r2 + 23r * 20 = 0 Reorder the terms for easier multiplication: 6r2 + 23 * 20r = 0 Multiply 23 * 20 6r2 + 460r = 0 Reorder the terms: 460r + 6r2 = 0 Solving 460r + 6r2 = 0 Solving for variable 'r'. Factor out the Greatest Common Factor (GCF), '2r'. 2r(230 + 3r) = 0 Ignore the factor 2.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 '(230 + 3r)' equal to zero and attempt to solve: Simplifying 230 + 3r = 0 Solving 230 + 3r = 0 Move all terms containing r to the left, all other terms to the right. Add '-230' to each side of the equation. 230 + -230 + 3r = 0 + -230 Combine like terms: 230 + -230 = 0 0 + 3r = 0 + -230 3r = 0 + -230 Combine like terms: 0 + -230 = -230 3r = -230 Divide each side by '3'. r = -76.66666667 Simplifying r = -76.66666667Solution
r = {0, -76.66666667}
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