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Simplifying -2r(8r + 5) = 0 Reorder the terms: -2r(5 + 8r) = 0 (5 * -2r + 8r * -2r) = 0 (-10r + -16r2) = 0 Solving -10r + -16r2 = 0 Solving for variable 'r'. Factor out the Greatest Common Factor (GCF), '-2r'. -2r(5 + 8r) = 0 Ignore the factor -2.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 '(5 + 8r)' equal to zero and attempt to solve: Simplifying 5 + 8r = 0 Solving 5 + 8r = 0 Move all terms containing r to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 8r = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 8r = 0 + -5 8r = 0 + -5 Combine like terms: 0 + -5 = -5 8r = -5 Divide each side by '8'. r = -0.625 Simplifying r = -0.625Solution
r = {0, -0.625}
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