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Simplifying 2r(r2 + -18) = 0 Reorder the terms: 2r(-18 + r2) = 0 (-18 * 2r + r2 * 2r) = 0 (-36r + 2r3) = 0 Solving -36r + 2r3 = 0 Solving for variable 'r'. Factor out the Greatest Common Factor (GCF), '2r'. 2r(-18 + r2) = 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 '(-18 + r2)' equal to zero and attempt to solve: Simplifying -18 + r2 = 0 Solving -18 + r2 = 0 Move all terms containing r to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 18 + r2 = 0 + 18 Combine like terms: -18 + 18 = 0 0 + r2 = 0 + 18 r2 = 0 + 18 Combine like terms: 0 + 18 = 18 r2 = 18 Simplifying r2 = 18 Take the square root of each side: r = {-4.242640687, 4.242640687}Solution
r = {0, -4.242640687, 4.242640687}
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