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Simplifying r2 + -14rs + 49s2 = 0 Reorder the terms: -14rs + r2 + 49s2 = 0 Solving -14rs + r2 + 49s2 = 0 Solving for variable 'r'. Factor a trinomial. (r + -7s)(r + -7s) = 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 + -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 = 7sSolution
r = {7s, 7s}
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