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Simplifying r2 + -1ry + -30y2 = 0 Reorder the terms: -1ry + r2 + -30y2 = 0 Solving -1ry + r2 + -30y2 = 0 Solving for variable 'r'. Factor a trinomial. (r + -6y)(r + 5y) = 0Subproblem 1
Set the factor '(r + -6y)' equal to zero and attempt to solve: Simplifying r + -6y = 0 Solving r + -6y = 0 Move all terms containing r to the left, all other terms to the right. Add '6y' to each side of the equation. r + -6y + 6y = 0 + 6y Combine like terms: -6y + 6y = 0 r + 0 = 0 + 6y r = 0 + 6y Remove the zero: r = 6y Simplifying r = 6ySubproblem 2
Set the factor '(r + 5y)' equal to zero and attempt to solve: Simplifying r + 5y = 0 Solving r + 5y = 0 Move all terms containing r to the left, all other terms to the right. Add '-5y' to each side of the equation. r + 5y + -5y = 0 + -5y Combine like terms: 5y + -5y = 0 r + 0 = 0 + -5y r = 0 + -5y Remove the zero: r = -5y Simplifying r = -5ySolution
r = {6y, -5y}
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