(9y^4)-(48y^3)+(48y^2)=0

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Solution for (9y^4)-(48y^3)+(48y^2)=0 equation: 


Simplifying
(9y4) + -1(48y3) + (48y2) = 0

Remove parenthesis around (48y3)
(9y4) + -1 * 48y3 + (48y2) = 0

Multiply -1 * 48
(9y4) + -48y3 + (48y2) = 0

Reorder the terms:
(48y2) + -48y3 + (9y4) = 0

Solving
(48y2) + -48y3 + (9y4) = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '3y2'.
3y2(16 + -16y + (3y2)) = 0

Factor a trinomial.
3y2((4 + -3y)(4 + -1y)) = 0

Ignore the factor 3.

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 + -3y)' equal to zero and attempt to solve:

Simplifying
4 + -3y = 0

Solving
4 + -3y = 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 + -3y = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -3y = 0 + -4
-3y = 0 + -4

Combine like terms: 0 + -4 = -4
-3y = -4

Divide each side by '-3'.
y = 1.333333333

Simplifying
y = 1.333333333

Subproblem 3
Set the factor '(4 + -1y)' equal to zero and attempt to solve:

Simplifying
4 + -1y = 0

Solving
4 + -1y = 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 + -1y = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1y = 0 + -4
-1y = 0 + -4

Combine like terms: 0 + -4 = -4
-1y = -4

Divide each side by '-1'.
y = 4

Simplifying
y = 4
Solution
y = {0, 1.333333333, 4}

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