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Simplifying 4r5 + -84r3 = 0 Reorder the terms: -84r3 + 4r5 = 0 Solving -84r3 + 4r5 = 0 Solving for variable 'r'. Factor out the Greatest Common Factor (GCF), '4r3'. 4r3(-21 + r2) = 0 Ignore the factor 4.Subproblem 1
Set the factor 'r3' equal to zero and attempt to solve: Simplifying r3 = 0 Solving r3 = 0 Move all terms containing r to the left, all other terms to the right. Simplifying r3 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(-21 + r2)' equal to zero and attempt to solve: Simplifying -21 + r2 = 0 Solving -21 + r2 = 0 Move all terms containing r to the left, all other terms to the right. Add '21' to each side of the equation. -21 + 21 + r2 = 0 + 21 Combine like terms: -21 + 21 = 0 0 + r2 = 0 + 21 r2 = 0 + 21 Combine like terms: 0 + 21 = 21 r2 = 21 Simplifying r2 = 21 Take the square root of each side: r = {-4.582575695, 4.582575695}Solution
r = {-4.582575695, 4.582575695}
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