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Simplifying 6r2 + -25rs + 4s2 = 0 Reorder the terms: -25rs + 6r2 + 4s2 = 0 Solving -25rs + 6r2 + 4s2 = 0 Solving for variable 'r'. Factor a trinomial. (r + -4s)(6r + -1s) = 0Subproblem 1
Set the factor '(r + -4s)' equal to zero and attempt to solve: Simplifying r + -4s = 0 Solving r + -4s = 0 Move all terms containing r to the left, all other terms to the right. Add '4s' to each side of the equation. r + -4s + 4s = 0 + 4s Combine like terms: -4s + 4s = 0 r + 0 = 0 + 4s r = 0 + 4s Remove the zero: r = 4s Simplifying r = 4sSubproblem 2
Set the factor '(6r + -1s)' equal to zero and attempt to solve: Simplifying 6r + -1s = 0 Solving 6r + -1s = 0 Move all terms containing r to the left, all other terms to the right. Add 's' to each side of the equation. 6r + -1s + s = 0 + s Combine like terms: -1s + s = 0 6r + 0 = 0 + s 6r = 0 + s Remove the zero: 6r = s Divide each side by '6'. r = 0.1666666667s Simplifying r = 0.1666666667sSolution
r = {4s, 0.1666666667s}
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