2(x^3)(y^2)-36(x^4)(y^3)+160(x^3)(y^4)=

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Solution for 2(x^3)(y^2)-36(x^4)(y^3)+160(x^3)(y^4)= equation: 


Simplifying
2(x3)(y2) + -36(x4)(y3) + 160(x3)(y4) = 0

Multiply x3 * y2
2x3y2 + -36(x4)(y3) + 160(x3)(y4) = 0

Multiply x4 * y3
2x3y2 + -36x4y3 + 160(x3)(y4) = 0

Multiply x3 * y4
2x3y2 + -36x4y3 + 160x3y4 = 0

Reorder the terms:
2x3y2 + 160x3y4 + -36x4y3 = 0

Solving
2x3y2 + 160x3y4 + -36x4y3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2x3y2'.
2x3y2(1 + 80y2 + -18xy) = 0

Ignore the factor 2.

Subproblem 1
Set the factor 'x3y2' equal to zero and attempt to solve:

Simplifying
x3y2 = 0

Solving
x3y2 = 0

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

Simplifying
x3y2 = 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 '(1 + 80y2 + -18xy)' equal to zero and attempt to solve:

Simplifying
1 + 80y2 + -18xy = 0

Reorder the terms:
1 + -18xy + 80y2 = 0

Solving
1 + -18xy + 80y2 = 0

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

Add '-1' to each side of the equation.
1 + -18xy + -1 + 80y2 = 0 + -1

Reorder the terms:
1 + -1 + -18xy + 80y2 = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -18xy + 80y2 = 0 + -1
-18xy + 80y2 = 0 + -1

Combine like terms: 0 + -1 = -1
-18xy + 80y2 = -1

Add '-80y2' to each side of the equation.
-18xy + 80y2 + -80y2 = -1 + -80y2

Combine like terms: 80y2 + -80y2 = 0
-18xy + 0 = -1 + -80y2
-18xy = -1 + -80y2

Divide each side by '-18y'.
x = 0.05555555556y-1 + 4.444444444y

Simplifying
x = 0.05555555556y-1 + 4.444444444y
Solution
x = {0.05555555556y-1 + 4.444444444y}

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