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Simplifying r2 + -15rs + 56s2 = 0 Reorder the terms: -15rs + r2 + 56s2 = 0 Solving -15rs + r2 + 56s2 = 0 Solving for variable 'r'. Factor a trinomial. (r + -8s)(r + -7s) = 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 + -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 = {8s, 7s}
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