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Simplifying 2r3 + 10r3 = 28r Combine like terms: 2r3 + 10r3 = 12r3 12r3 = 28r Solving 12r3 = 28r Solving for variable 'r'. Reorder the terms: -28r + 12r3 = 28r + -28r Combine like terms: 28r + -28r = 0 -28r + 12r3 = 0 Factor out the Greatest Common Factor (GCF), '4r'. 4r(-7 + 3r2) = 0 Ignore the factor 4.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 '(-7 + 3r2)' equal to zero and attempt to solve: Simplifying -7 + 3r2 = 0 Solving -7 + 3r2 = 0 Move all terms containing r to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + 3r2 = 0 + 7 Combine like terms: -7 + 7 = 0 0 + 3r2 = 0 + 7 3r2 = 0 + 7 Combine like terms: 0 + 7 = 7 3r2 = 7 Divide each side by '3'. r2 = 2.333333333 Simplifying r2 = 2.333333333 Take the square root of each side: r = {-1.527525232, 1.527525232}Solution
r = {0, -1.527525232, 1.527525232}
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