(9x^2y^4+13x^2)+(-4x^2+11x^2y^4+3x^4y^4)-(14x^4y^4+2x^2y^4)=0

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Solution for (9x^2y^4+13x^2)+(-4x^2+11x^2y^4+3x^4y^4)-(14x^4y^4+2x^2y^4)=0 equation: 


Simplifying
(9x2y4 + 13x2) + (-4x2 + 11x2y4 + 3x4y4) + -1(14x4y4 + 2x2y4) = 0

Reorder the terms:
(13x2 + 9x2y4) + (-4x2 + 11x2y4 + 3x4y4) + -1(14x4y4 + 2x2y4) = 0

Remove parenthesis around (13x2 + 9x2y4)
13x2 + 9x2y4 + (-4x2 + 11x2y4 + 3x4y4) + -1(14x4y4 + 2x2y4) = 0

Remove parenthesis around (-4x2 + 11x2y4 + 3x4y4)
13x2 + 9x2y4 + -4x2 + 11x2y4 + 3x4y4 + -1(14x4y4 + 2x2y4) = 0

Reorder the terms:
13x2 + 9x2y4 + -4x2 + 11x2y4 + 3x4y4 + -1(2x2y4 + 14x4y4) = 0
13x2 + 9x2y4 + -4x2 + 11x2y4 + 3x4y4 + (2x2y4 * -1 + 14x4y4 * -1) = 0
13x2 + 9x2y4 + -4x2 + 11x2y4 + 3x4y4 + (-2x2y4 + -14x4y4) = 0

Reorder the terms:
13x2 + -4x2 + 9x2y4 + 11x2y4 + -2x2y4 + 3x4y4 + -14x4y4 = 0

Combine like terms: 13x2 + -4x2 = 9x2
9x2 + 9x2y4 + 11x2y4 + -2x2y4 + 3x4y4 + -14x4y4 = 0

Combine like terms: 9x2y4 + 11x2y4 = 20x2y4
9x2 + 20x2y4 + -2x2y4 + 3x4y4 + -14x4y4 = 0

Combine like terms: 20x2y4 + -2x2y4 = 18x2y4
9x2 + 18x2y4 + 3x4y4 + -14x4y4 = 0

Combine like terms: 3x4y4 + -14x4y4 = -11x4y4
9x2 + 18x2y4 + -11x4y4 = 0

Solving
9x2 + 18x2y4 + -11x4y4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x2'.
x2(9 + 18y4 + -11x2y4) = 0


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 '(9 + 18y4 + -11x2y4)' equal to zero and attempt to solve:

Simplifying
9 + 18y4 + -11x2y4 = 0

Reorder the terms:
9 + -11x2y4 + 18y4 = 0

Solving
9 + -11x2y4 + 18y4 = 0

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

Add '-9' to each side of the equation.
9 + -11x2y4 + -9 + 18y4 = 0 + -9

Reorder the terms:
9 + -9 + -11x2y4 + 18y4 = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -11x2y4 + 18y4 = 0 + -9
-11x2y4 + 18y4 = 0 + -9

Combine like terms: 0 + -9 = -9
-11x2y4 + 18y4 = -9

Add '-18y4' to each side of the equation.
-11x2y4 + 18y4 + -18y4 = -9 + -18y4

Combine like terms: 18y4 + -18y4 = 0
-11x2y4 + 0 = -9 + -18y4
-11x2y4 = -9 + -18y4

Divide each side by '-11y4'.
x2 = 0.8181818182y-4 + 1.636363636

Simplifying
x2 = 0.8181818182y-4 + 1.636363636

Reorder the terms:
x2 = 1.636363636 + 0.8181818182y-4

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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