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Simplifying 8r2 + 6rs + 20rs + 15rs2 = 0 Reorder the terms: 6rs + 20rs + 15rs2 + 8r2 = 0 Combine like terms: 6rs + 20rs = 26rs 26rs + 15rs2 + 8r2 = 0 Solving 26rs + 15rs2 + 8r2 = 0 Solving for variable 'r'. Factor out the Greatest Common Factor (GCF), 'r'. r(26s + 15s2 + 8r) = 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 '(26s + 15s2 + 8r)' equal to zero and attempt to solve: Simplifying 26s + 15s2 + 8r = 0 Reorder the terms: 8r + 26s + 15s2 = 0 Solving 8r + 26s + 15s2 = 0 Move all terms containing r to the left, all other terms to the right. Add '-26s' to each side of the equation. 8r + 26s + -26s + 15s2 = 0 + -26s Combine like terms: 26s + -26s = 0 8r + 0 + 15s2 = 0 + -26s 8r + 15s2 = 0 + -26s Remove the zero: 8r + 15s2 = -26s Add '-15s2' to each side of the equation. 8r + 15s2 + -15s2 = -26s + -15s2 Combine like terms: 15s2 + -15s2 = 0 8r + 0 = -26s + -15s2 8r = -26s + -15s2 Divide each side by '8'. r = -3.25s + -1.875s2 Simplifying r = -3.25s + -1.875s2Solution
r = {0, -3.25s + -1.875s2}
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