(y^4x+y^2+3)(y^2+4)=

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


Simplifying
(y4x + y2 + 3)(y2 + 4) = 0

Reorder the terms:
(3 + xy4 + y2)(y2 + 4) = 0

Reorder the terms:
(3 + xy4 + y2)(4 + y2) = 0

Multiply (3 + xy4 + y2) * (4 + y2)
(3(4 + y2) + xy4(4 + y2) + y2(4 + y2)) = 0
((4 * 3 + y2 * 3) + xy4(4 + y2) + y2(4 + y2)) = 0
((12 + 3y2) + xy4(4 + y2) + y2(4 + y2)) = 0
(12 + 3y2 + (4 * xy4 + y2 * xy4) + y2(4 + y2)) = 0
(12 + 3y2 + (4xy4 + xy6) + y2(4 + y2)) = 0
(12 + 3y2 + 4xy4 + xy6 + (4 * y2 + y2 * y2)) = 0
(12 + 3y2 + 4xy4 + xy6 + (4y2 + y4)) = 0

Reorder the terms:
(12 + 4xy4 + xy6 + 3y2 + 4y2 + y4) = 0

Combine like terms: 3y2 + 4y2 = 7y2
(12 + 4xy4 + xy6 + 7y2 + y4) = 0

Solving
12 + 4xy4 + xy6 + 7y2 + y4 = 0

Solving for variable 'x'.

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

Add '-12' to each side of the equation.
12 + 4xy4 + xy6 + 7y2 + -12 + y4 = 0 + -12

Reorder the terms:
12 + -12 + 4xy4 + xy6 + 7y2 + y4 = 0 + -12

Combine like terms: 12 + -12 = 0
0 + 4xy4 + xy6 + 7y2 + y4 = 0 + -12
4xy4 + xy6 + 7y2 + y4 = 0 + -12

Combine like terms: 0 + -12 = -12
4xy4 + xy6 + 7y2 + y4 = -12

Add '-7y2' to each side of the equation.
4xy4 + xy6 + 7y2 + -7y2 + y4 = -12 + -7y2

Combine like terms: 7y2 + -7y2 = 0
4xy4 + xy6 + 0 + y4 = -12 + -7y2
4xy4 + xy6 + y4 = -12 + -7y2

Add '-1y4' to each side of the equation.
4xy4 + xy6 + y4 + -1y4 = -12 + -7y2 + -1y4

Combine like terms: y4 + -1y4 = 0
4xy4 + xy6 + 0 = -12 + -7y2 + -1y4
4xy4 + xy6 = -12 + -7y2 + -1y4

Reorder the terms:
12 + 4xy4 + xy6 + 7y2 + y4 = -12 + -7y2 + -1y4 + 12 + 7y2 + y4

Reorder the terms:
12 + 4xy4 + xy6 + 7y2 + y4 = -12 + 12 + -7y2 + 7y2 + -1y4 + y4

Combine like terms: -12 + 12 = 0
12 + 4xy4 + xy6 + 7y2 + y4 = 0 + -7y2 + 7y2 + -1y4 + y4
12 + 4xy4 + xy6 + 7y2 + y4 = -7y2 + 7y2 + -1y4 + y4

Combine like terms: -7y2 + 7y2 = 0
12 + 4xy4 + xy6 + 7y2 + y4 = 0 + -1y4 + y4
12 + 4xy4 + xy6 + 7y2 + y4 = -1y4 + y4

Combine like terms: -1y4 + y4 = 0
12 + 4xy4 + xy6 + 7y2 + y4 = 0

The solution to this equation could not be determined.

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