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Simplifying r2 + -2r3 + 3r2 = 0 Reorder the terms: r2 + 3r2 + -2r3 = 0 Combine like terms: r2 + 3r2 = 4r2 4r2 + -2r3 = 0 Solving 4r2 + -2r3 = 0 Solving for variable 'r'. Factor out the Greatest Common Factor (GCF), '2r2'. 2r2(2 + -1r) = 0 Ignore the factor 2.Subproblem 1
Set the factor 'r2' equal to zero and attempt to solve: Simplifying r2 = 0 Solving r2 = 0 Move all terms containing r to the left, all other terms to the right. Simplifying r2 = 0 Take the square root of each side: r = {0}Subproblem 2
Set the factor '(2 + -1r)' equal to zero and attempt to solve: Simplifying 2 + -1r = 0 Solving 2 + -1r = 0 Move all terms containing r to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1r = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1r = 0 + -2 -1r = 0 + -2 Combine like terms: 0 + -2 = -2 -1r = -2 Divide each side by '-1'. r = 2 Simplifying r = 2Solution
r = {0, 2}
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