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Simplifying r2 + 16rs + 64s2 = 0 Reorder the terms: 16rs + r2 + 64s2 = 0 Solving 16rs + r2 + 64s2 = 0 Solving for variable 'r'. Factor a trinomial. (r + 8s)(r + 8s) = 0Subproblem 1
Set the factor '(r + 8s)' equal to zero and attempt to solve: Simplifying r + 8s = 0 Solving r + 8s = 0 Move all terms containing r to the left, all other terms to the right. Add '-8s' to each side of the equation. r + 8s + -8s = 0 + -8s Combine like terms: 8s + -8s = 0 r + 0 = 0 + -8s r = 0 + -8s Remove the zero: r = -8s Simplifying r = -8sSubproblem 2
Set the factor '(r + 8s)' equal to zero and attempt to solve: Simplifying r + 8s = 0 Solving r + 8s = 0 Move all terms containing r to the left, all other terms to the right. Add '-8s' to each side of the equation. r + 8s + -8s = 0 + -8s Combine like terms: 8s + -8s = 0 r + 0 = 0 + -8s r = 0 + -8s Remove the zero: r = -8s Simplifying r = -8sSolution
r = {-8s, -8s}
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