16x^3y^4+40x^2y^5+25xy^6=

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Solution for 16x^3y^4+40x^2y^5+25xy^6= equation: 


Simplifying
16x3y4 + 40x2y5 + 25xy6 = 0

Reorder the terms:
25xy6 + 40x2y5 + 16x3y4 = 0

Solving
25xy6 + 40x2y5 + 16x3y4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'xy4'.
xy4(25y2 + 40xy + 16x2) = 0

Factor a trinomial.
xy4((5y + 4x)(5y + 4x)) = 0


Subproblem 1
Set the factor 'xy4' equal to zero and attempt to solve:

Simplifying
xy4 = 0

Solving
xy4 = 0

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

Simplifying
xy4 = 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 '(5y + 4x)' equal to zero and attempt to solve:

Simplifying
5y + 4x = 0

Reorder the terms:
4x + 5y = 0

Solving
4x + 5y = 0

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

Add '-5y' to each side of the equation.
4x + 5y + -5y = 0 + -5y

Combine like terms: 5y + -5y = 0
4x + 0 = 0 + -5y
4x = 0 + -5y
Remove the zero:
4x = -5y

Divide each side by '4'.
x = -1.25y

Simplifying
x = -1.25y

Subproblem 3
Set the factor '(5y + 4x)' equal to zero and attempt to solve:

Simplifying
5y + 4x = 0

Reorder the terms:
4x + 5y = 0

Solving
4x + 5y = 0

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

Add '-5y' to each side of the equation.
4x + 5y + -5y = 0 + -5y

Combine like terms: 5y + -5y = 0
4x + 0 = 0 + -5y
4x = 0 + -5y
Remove the zero:
4x = -5y

Divide each side by '4'.
x = -1.25y

Simplifying
x = -1.25y
Solution
x = {-1.25y, -1.25y}

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