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Simplifying 4r2y + -44ry + 72y = 0 Reorder the terms: -44ry + 4r2y + 72y = 0 Solving -44ry + 4r2y + 72y = 0 Solving for variable 'r'. Factor out the Greatest Common Factor (GCF), '4y'. 4y(-11r + r2 + 18) = 0 Factor a trinomial. 4y((r + -9)(r + -2)) = 0 Ignore the factor 4.Subproblem 1
Set the factor 'y' equal to zero and attempt to solve: Simplifying y = 0 Solving y = 0 Move all terms containing r to the left, all other terms to the right. Add '-1y' to each side of the equation. y + -1y = 0 + -1y Remove the zero: 0 = -1y Simplifying 0 = -1y The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(r + -9)' equal to zero and attempt to solve: Simplifying r + -9 = 0 Reorder the terms: -9 + r = 0 Solving -9 + r = 0 Move all terms containing r to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + r = 0 + 9 Combine like terms: -9 + 9 = 0 0 + r = 0 + 9 r = 0 + 9 Combine like terms: 0 + 9 = 9 r = 9 Simplifying r = 9Subproblem 3
Set the factor '(r + -2)' equal to zero and attempt to solve: Simplifying r + -2 = 0 Reorder the terms: -2 + r = 0 Solving -2 + r = 0 Move all terms containing r to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + r = 0 + 2 Combine like terms: -2 + 2 = 0 0 + r = 0 + 2 r = 0 + 2 Combine like terms: 0 + 2 = 2 r = 2 Simplifying r = 2Solution
r = {9, 2}
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