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Simplifying 3r(7r + -8) * r = 0 Reorder the terms: 3r(-8 + 7r) * r = 0 Reorder the terms for easier multiplication: 3r * r(-8 + 7r) = 0 Multiply r * r 3r2(-8 + 7r) = 0 (-8 * 3r2 + 7r * 3r2) = 0 (-24r2 + 21r3) = 0 Solving -24r2 + 21r3 = 0 Solving for variable 'r'. Factor out the Greatest Common Factor (GCF), '3r2'. 3r2(-8 + 7r) = 0 Ignore the factor 3.Subproblem 1
Set the factor 'r2' equal to zero and attempt to solve: Simplifying r2 = 0 Solving r2 = 0 Move all terms containing r to the left, all other terms to the right. Simplifying r2 = 0 Take the square root of each side: r = {0}Subproblem 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 = 1.142857143Solution
r = {0, 1.142857143}
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