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Simplifying 7r2 + 6rs + -1s2 = 0 Reorder the terms: 6rs + 7r2 + -1s2 = 0 Solving 6rs + 7r2 + -1s2 = 0 Solving for variable 'r'. Factor a trinomial. (7r + -1s)(r + s) = 0Subproblem 1
Set the factor '(7r + -1s)' equal to zero and attempt to solve: Simplifying 7r + -1s = 0 Solving 7r + -1s = 0 Move all terms containing r to the left, all other terms to the right. Add 's' to each side of the equation. 7r + -1s + s = 0 + s Combine like terms: -1s + s = 0 7r + 0 = 0 + s 7r = 0 + s Remove the zero: 7r = s Divide each side by '7'. r = 0.1428571429s Simplifying r = 0.1428571429sSubproblem 2
Set the factor '(r + s)' equal to zero and attempt to solve: Simplifying r + s = 0 Solving r + s = 0 Move all terms containing r to the left, all other terms to the right. Add '-1s' to each side of the equation. r + s + -1s = 0 + -1s Combine like terms: s + -1s = 0 r + 0 = 0 + -1s r = 0 + -1s Remove the zero: r = -1s Simplifying r = -1sSolution
r = {0.1428571429s, -1s}
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