12y^5-44y^4+40y^3=0

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Solution for 12y^5-44y^4+40y^3=0 equation:


Simplifying
12y5 + -44y4 + 40y3 = 0

Reorder the terms:
40y3 + -44y4 + 12y5 = 0

Solving
40y3 + -44y4 + 12y5 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '4y3'.
4y3(10 + -11y + 3y2) = 0

Factor a trinomial.
4y3((5 + -3y)(2 + -1y)) = 0

Ignore the factor 4.

Subproblem 1

Set the factor 'y3' equal to zero and attempt to solve: Simplifying y3 = 0 Solving y3 = 0 Move all terms containing y to the left, all other terms to the right. Simplifying y3 = 0 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 '(5 + -3y)' equal to zero and attempt to solve: Simplifying 5 + -3y = 0 Solving 5 + -3y = 0 Move all terms containing y to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -3y = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -3y = 0 + -5 -3y = 0 + -5 Combine like terms: 0 + -5 = -5 -3y = -5 Divide each side by '-3'. y = 1.666666667 Simplifying y = 1.666666667

Subproblem 3

Set the factor '(2 + -1y)' equal to zero and attempt to solve: Simplifying 2 + -1y = 0 Solving 2 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1y = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1y = 0 + -2 -1y = 0 + -2 Combine like terms: 0 + -2 = -2 -1y = -2 Divide each side by '-1'. y = 2 Simplifying y = 2

Solution

y = {1.666666667, 2}

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