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Simplifying 44y4 + -148y3 + 48y2 = 0 Reorder the terms: 48y2 + -148y3 + 44y4 = 0 Solving 48y2 + -148y3 + 44y4 = 0 Solving for variable 'y'. Factor out the Greatest Common Factor (GCF), '4y2'. 4y2(12 + -37y + 11y2) = 0 Factor a trinomial. 4y2((4 + -11y)(3 + -1y)) = 0 Ignore the factor 4.Subproblem 1
Set the factor 'y2' equal to zero and attempt to solve: Simplifying y2 = 0 Solving y2 = 0 Move all terms containing y to the left, all other terms to the right. Simplifying y2 = 0 Take the square root of each side: y = {0}Subproblem 2
Set the factor '(4 + -11y)' equal to zero and attempt to solve: Simplifying 4 + -11y = 0 Solving 4 + -11y = 0 Move all terms containing y to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -11y = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -11y = 0 + -4 -11y = 0 + -4 Combine like terms: 0 + -4 = -4 -11y = -4 Divide each side by '-11'. y = 0.3636363636 Simplifying y = 0.3636363636Subproblem 3
Set the factor '(3 + -1y)' equal to zero and attempt to solve: Simplifying 3 + -1y = 0 Solving 3 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1y = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1y = 0 + -3 -1y = 0 + -3 Combine like terms: 0 + -3 = -3 -1y = -3 Divide each side by '-1'. y = 3 Simplifying y = 3Solution
y = {0, 0.3636363636, 3}
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