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Simplifying 8r * 8r + -24r = 0 Reorder the terms for easier multiplication: 8 * 8r * r + -24r = 0 Multiply 8 * 8 64r * r + -24r = 0 Multiply r * r 64r2 + -24r = 0 Reorder the terms: -24r + 64r2 = 0 Solving -24r + 64r2 = 0 Solving for variable 'r'. Factor out the Greatest Common Factor (GCF), '8r'. 8r(-3 + 8r) = 0 Ignore the factor 8.Subproblem 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 + 8r)' equal to zero and attempt to solve: Simplifying -3 + 8r = 0 Solving -3 + 8r = 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 + 8r = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 8r = 0 + 3 8r = 0 + 3 Combine like terms: 0 + 3 = 3 8r = 3 Divide each side by '8'. r = 0.375 Simplifying r = 0.375Solution
r = {0, 0.375}
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