18x^2y^4-26x^2y-4x^5=0

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Solution for 18x^2y^4-26x^2y-4x^5=0 equation: 


Simplifying
18x2y4 + -26x2y + -4x5 = 0

Reorder the terms:
-26x2y + 18x2y4 + -4x5 = 0

Solving
-26x2y + 18x2y4 + -4x5 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2x2'.
2x2(-13y + 9y4 + -2x3) = 0

Ignore the factor 2.

Subproblem 1
Set the factor 'x2' equal to zero and attempt to solve:

Simplifying
x2 = 0

Solving
x2 = 0

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

Simplifying
x2 = 0

Take the square root of each side:
x = {0}

Subproblem 2
Set the factor '(-13y + 9y4 + -2x3)' equal to zero and attempt to solve:

Simplifying
-13y + 9y4 + -2x3 = 0

Reorder the terms:
-2x3 + -13y + 9y4 = 0

Solving
-2x3 + -13y + 9y4 = 0

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

Add '13y' to each side of the equation.
-2x3 + -13y + 13y + 9y4 = 0 + 13y

Combine like terms: -13y + 13y = 0
-2x3 + 0 + 9y4 = 0 + 13y
-2x3 + 9y4 = 0 + 13y
Remove the zero:
-2x3 + 9y4 = 13y

Add '-9y4' to each side of the equation.
-2x3 + 9y4 + -9y4 = 13y + -9y4

Combine like terms: 9y4 + -9y4 = 0
-2x3 + 0 = 13y + -9y4
-2x3 = 13y + -9y4

Divide each side by '-2'.
x3 = -6.5y + 4.5y4

Simplifying
x3 = -6.5y + 4.5y4

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
x = {0}

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