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Simplifying 4r6 + -9r4 = 0 Reorder the terms: -9r4 + 4r6 = 0 Solving -9r4 + 4r6 = 0 Solving for variable 'r'. Factor out the Greatest Common Factor (GCF), 'r4'. r4(-9 + 4r2) = 0 Factor a difference between two squares. r4((3 + 2r)(-3 + 2r)) = 0Subproblem 1
Set the factor 'r4' equal to zero and attempt to solve: Simplifying r4 = 0 Solving r4 = 0 Move all terms containing r to the left, all other terms to the right. Simplifying r4 = 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 '(3 + 2r)' equal to zero and attempt to solve: Simplifying 3 + 2r = 0 Solving 3 + 2r = 0 Move all terms containing r to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 2r = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 2r = 0 + -3 2r = 0 + -3 Combine like terms: 0 + -3 = -3 2r = -3 Divide each side by '2'. r = -1.5 Simplifying r = -1.5Subproblem 3
Set the factor '(-3 + 2r)' equal to zero and attempt to solve: Simplifying -3 + 2r = 0 Solving -3 + 2r = 0 Move all terms containing r to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + 2r = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 2r = 0 + 3 2r = 0 + 3 Combine like terms: 0 + 3 = 3 2r = 3 Divide each side by '2'. r = 1.5 Simplifying r = 1.5Solution
r = {-1.5, 1.5}
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