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Simplifying 49r3 + -9r = 0 Reorder the terms: -9r + 49r3 = 0 Solving -9r + 49r3 = 0 Solving for variable 'r'. Factor out the Greatest Common Factor (GCF), 'r'. r(-9 + 49r2) = 0 Factor a difference between two squares. r((3 + 7r)(-3 + 7r)) = 0Subproblem 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 '(3 + 7r)' equal to zero and attempt to solve: Simplifying 3 + 7r = 0 Solving 3 + 7r = 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 + 7r = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 7r = 0 + -3 7r = 0 + -3 Combine like terms: 0 + -3 = -3 7r = -3 Divide each side by '7'. r = -0.4285714286 Simplifying r = -0.4285714286Subproblem 3
Set the factor '(-3 + 7r)' equal to zero and attempt to solve: Simplifying -3 + 7r = 0 Solving -3 + 7r = 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 + 7r = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 7r = 0 + 3 7r = 0 + 3 Combine like terms: 0 + 3 = 3 7r = 3 Divide each side by '7'. r = 0.4285714286 Simplifying r = 0.4285714286Solution
r = {0, -0.4285714286, 0.4285714286}
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