y^6+16y^5-36y^4=0

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Solution for y^6+16y^5-36y^4=0 equation: 


Simplifying
y6 + 16y5 + -36y4 = 0

Reorder the terms:
-36y4 + 16y5 + y6 = 0

Solving
-36y4 + 16y5 + y6 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), 'y4'.
y4(-36 + 16y + y2) = 0

Factor a trinomial.
y4((-18 + -1y)(2 + -1y)) = 0


Subproblem 1
Set the factor 'y4' equal to zero and attempt to solve:

Simplifying
y4 = 0

Solving
y4 = 0

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

Simplifying
y4 = 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 '(-18 + -1y)' equal to zero and attempt to solve:

Simplifying
-18 + -1y = 0

Solving
-18 + -1y = 0

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

Add '18' to each side of the equation.
-18 + 18 + -1y = 0 + 18

Combine like terms: -18 + 18 = 0
0 + -1y = 0 + 18
-1y = 0 + 18

Combine like terms: 0 + 18 = 18
-1y = 18

Divide each side by '-1'.
y = -18

Simplifying
y = -18

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 = {-18, 2}

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