(18x^4-5y^2+y)-(7y^4+3y^2+2y)=

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Solution for (18x^4-5y^2+y)-(7y^4+3y^2+2y)= equation:


Simplifying
(18x4 + -5y2 + y) + -1(7y4 + 3y2 + 2y) = 0

Reorder the terms:
(18x4 + y + -5y2) + -1(7y4 + 3y2 + 2y) = 0

Remove parenthesis around (18x4 + y + -5y2)
18x4 + y + -5y2 + -1(7y4 + 3y2 + 2y) = 0

Reorder the terms:
18x4 + y + -5y2 + -1(2y + 3y2 + 7y4) = 0
18x4 + y + -5y2 + (2y * -1 + 3y2 * -1 + 7y4 * -1) = 0
18x4 + y + -5y2 + (-2y + -3y2 + -7y4) = 0

Reorder the terms:
18x4 + y + -2y + -5y2 + -3y2 + -7y4 = 0

Combine like terms: y + -2y = -1y
18x4 + -1y + -5y2 + -3y2 + -7y4 = 0

Combine like terms: -5y2 + -3y2 = -8y2
18x4 + -1y + -8y2 + -7y4 = 0

Solving
18x4 + -1y + -8y2 + -7y4 = 0

Solving for variable 'x'.

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

Add 'y' to each side of the equation.
18x4 + -1y + -8y2 + y + -7y4 = 0 + y

Reorder the terms:
18x4 + -1y + y + -8y2 + -7y4 = 0 + y

Combine like terms: -1y + y = 0
18x4 + 0 + -8y2 + -7y4 = 0 + y
18x4 + -8y2 + -7y4 = 0 + y
Remove the zero:
18x4 + -8y2 + -7y4 = y

Add '8y2' to each side of the equation.
18x4 + -8y2 + 8y2 + -7y4 = y + 8y2

Combine like terms: -8y2 + 8y2 = 0
18x4 + 0 + -7y4 = y + 8y2
18x4 + -7y4 = y + 8y2

Add '7y4' to each side of the equation.
18x4 + -7y4 + 7y4 = y + 8y2 + 7y4

Combine like terms: -7y4 + 7y4 = 0
18x4 + 0 = y + 8y2 + 7y4
18x4 = y + 8y2 + 7y4

Divide each side by '18'.
x4 = 0.05555555556y + 0.4444444444y2 + 0.3888888889y4

Simplifying
x4 = 0.05555555556y + 0.4444444444y2 + 0.3888888889y4

Reorder the terms:
x4 + -0.05555555556y + -0.4444444444y2 + -0.3888888889y4 = 0.05555555556y + -0.05555555556y + 0.4444444444y2 + -0.4444444444y2 + 0.3888888889y4 + -0.3888888889y4

Combine like terms: 0.05555555556y + -0.05555555556y = 0.00000000000
x4 + -0.05555555556y + -0.4444444444y2 + -0.3888888889y4 = 0.00000000000 + 0.4444444444y2 + -0.4444444444y2 + 0.3888888889y4 + -0.3888888889y4
x4 + -0.05555555556y + -0.4444444444y2 + -0.3888888889y4 = 0.4444444444y2 + -0.4444444444y2 + 0.3888888889y4 + -0.3888888889y4

Combine like terms: 0.4444444444y2 + -0.4444444444y2 = 0.0000000000
x4 + -0.05555555556y + -0.4444444444y2 + -0.3888888889y4 = 0.0000000000 + 0.3888888889y4 + -0.3888888889y4
x4 + -0.05555555556y + -0.4444444444y2 + -0.3888888889y4 = 0.3888888889y4 + -0.3888888889y4

Combine like terms: 0.3888888889y4 + -0.3888888889y4 = 0.0000000000
x4 + -0.05555555556y + -0.4444444444y2 + -0.3888888889y4 = 0.0000000000

The solution to this equation could not be determined.

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