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Simplifying r2 + 16rs + 63s2 = 0 Reorder the terms: 16rs + r2 + 63s2 = 0 Solving 16rs + r2 + 63s2 = 0 Solving for variable 'r'. Factor a trinomial. (r + 7s)(r + 9s) = 0Subproblem 1
Set the factor '(r + 7s)' equal to zero and attempt to solve: Simplifying r + 7s = 0 Solving r + 7s = 0 Move all terms containing r to the left, all other terms to the right. Add '-7s' to each side of the equation. r + 7s + -7s = 0 + -7s Combine like terms: 7s + -7s = 0 r + 0 = 0 + -7s r = 0 + -7s Remove the zero: r = -7s Simplifying r = -7sSubproblem 2
Set the factor '(r + 9s)' equal to zero and attempt to solve: Simplifying r + 9s = 0 Solving r + 9s = 0 Move all terms containing r to the left, all other terms to the right. Add '-9s' to each side of the equation. r + 9s + -9s = 0 + -9s Combine like terms: 9s + -9s = 0 r + 0 = 0 + -9s r = 0 + -9s Remove the zero: r = -9s Simplifying r = -9sSolution
r = {-7s, -9s}
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