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Simplifying 36r3 + -49r = 0 Reorder the terms: -49r + 36r3 = 0 Solving -49r + 36r3 = 0 Solving for variable 'r'. Factor out the Greatest Common Factor (GCF), 'r'. r(-49 + 36r2) = 0 Factor a difference between two squares. r((7 + 6r)(-7 + 6r)) = 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 '(7 + 6r)' equal to zero and attempt to solve: Simplifying 7 + 6r = 0 Solving 7 + 6r = 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 + 6r = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 6r = 0 + -7 6r = 0 + -7 Combine like terms: 0 + -7 = -7 6r = -7 Divide each side by '6'. r = -1.166666667 Simplifying r = -1.166666667Subproblem 3
Set the factor '(-7 + 6r)' equal to zero and attempt to solve: Simplifying -7 + 6r = 0 Solving -7 + 6r = 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 + 6r = 0 + 7 Combine like terms: -7 + 7 = 0 0 + 6r = 0 + 7 6r = 0 + 7 Combine like terms: 0 + 7 = 7 6r = 7 Divide each side by '6'. r = 1.166666667 Simplifying r = 1.166666667Solution
r = {0, -1.166666667, 1.166666667}
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