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Simplifying 49r3 + -64r = 0 Reorder the terms: -64r + 49r3 = 0 Solving -64r + 49r3 = 0 Solving for variable 'r'. Factor out the Greatest Common Factor (GCF), 'r'. r(-64 + 49r2) = 0 Factor a difference between two squares. r((8 + 7r)(-8 + 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 '(8 + 7r)' equal to zero and attempt to solve: Simplifying 8 + 7r = 0 Solving 8 + 7r = 0 Move all terms containing r to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 7r = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 7r = 0 + -8 7r = 0 + -8 Combine like terms: 0 + -8 = -8 7r = -8 Divide each side by '7'. r = -1.142857143 Simplifying r = -1.142857143Subproblem 3
Set the factor '(-8 + 7r)' equal to zero and attempt to solve: Simplifying -8 + 7r = 0 Solving -8 + 7r = 0 Move all terms containing r to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + 7r = 0 + 8 Combine like terms: -8 + 8 = 0 0 + 7r = 0 + 8 7r = 0 + 8 Combine like terms: 0 + 8 = 8 7r = 8 Divide each side by '7'. r = 1.142857143 Simplifying r = 1.142857143Solution
r = {0, -1.142857143, 1.142857143}
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