4y^5=12y^4+160y^3

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Solution for 4y^5=12y^4+160y^3 equation: 


Simplifying
4y5 = 12y4 + 160y3

Reorder the terms:
4y5 = 160y3 + 12y4

Solving
4y5 = 160y3 + 12y4

Solving for variable 'y'.

Reorder the terms:
-160y3 + -12y4 + 4y5 = 160y3 + 12y4 + -160y3 + -12y4

Reorder the terms:
-160y3 + -12y4 + 4y5 = 160y3 + -160y3 + 12y4 + -12y4

Combine like terms: 160y3 + -160y3 = 0
-160y3 + -12y4 + 4y5 = 0 + 12y4 + -12y4
-160y3 + -12y4 + 4y5 = 12y4 + -12y4

Combine like terms: 12y4 + -12y4 = 0
-160y3 + -12y4 + 4y5 = 0

Factor out the Greatest Common Factor (GCF), '4y3'.
4y3(-40 + -3y + y2) = 0

Factor a trinomial.
4y3((-5 + -1y)(8 + -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 + -1y)' equal to zero and attempt to solve:

Simplifying
-5 + -1y = 0

Solving
-5 + -1y = 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 + -1y = 0 + 5

Combine like terms: -5 + 5 = 0
0 + -1y = 0 + 5
-1y = 0 + 5

Combine like terms: 0 + 5 = 5
-1y = 5

Divide each side by '-1'.
y = -5

Simplifying
y = -5

Subproblem 3
Set the factor '(8 + -1y)' equal to zero and attempt to solve:

Simplifying
8 + -1y = 0

Solving
8 + -1y = 0

Move all terms containing y to the left, all other terms to the right.

Add '-8' to each side of the equation.
8 + -8 + -1y = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -1y = 0 + -8
-1y = 0 + -8

Combine like terms: 0 + -8 = -8
-1y = -8

Divide each side by '-1'.
y = 8

Simplifying
y = 8
Solution
y = {-5, 8}

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