16x^4y^2-6x^3y^3-10x^2y^4=

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Solution for 16x^4y^2-6x^3y^3-10x^2y^4= equation: 


Simplifying
16x4y2 + -6x3y3 + -10x2y4 = 0

Reorder the terms:
-10x2y4 + -6x3y3 + 16x4y2 = 0

Solving
-10x2y4 + -6x3y3 + 16x4y2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2x2y2'.
2x2y2(-5y2 + -3xy + 8x2) = 0

Factor a trinomial.
2x2y2((-5y + -8x)(y + -1x)) = 0

Ignore the factor 2.

Subproblem 1
Set the factor 'x2y2' equal to zero and attempt to solve:

Simplifying
x2y2 = 0

Solving
x2y2 = 0

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

Simplifying
x2y2 = 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 + -8x)' equal to zero and attempt to solve:

Simplifying
-5y + -8x = 0

Reorder the terms:
-8x + -5y = 0

Solving
-8x + -5y = 0

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

Add '5y' to each side of the equation.
-8x + -5y + 5y = 0 + 5y

Combine like terms: -5y + 5y = 0
-8x + 0 = 0 + 5y
-8x = 0 + 5y
Remove the zero:
-8x = 5y

Divide each side by '-8'.
x = -0.625y

Simplifying
x = -0.625y

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

Simplifying
y + -1x = 0

Reorder the terms:
-1x + y = 0

Solving
-1x + y = 0

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

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

Combine like terms: y + -1y = 0
-1x + 0 = 0 + -1y
-1x = 0 + -1y
Remove the zero:
-1x = -1y

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

Simplifying
x = y
Solution
x = {-0.625y, y}

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