(5xy^5+8x^3y)-(3xy^5-x^3y)=

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Solution for (5xy^5+8x^3y)-(3xy^5-x^3y)= equation:


Simplifying
(5xy5 + 8x3y) + -1(3xy5 + -1x3y) = 0

Remove parenthesis around (5xy5 + 8x3y)
5xy5 + 8x3y + -1(3xy5 + -1x3y) = 0
5xy5 + 8x3y + (3xy5 * -1 + -1x3y * -1) = 0
5xy5 + 8x3y + (-3xy5 + 1x3y) = 0

Reorder the terms:
5xy5 + -3xy5 + 8x3y + 1x3y = 0

Combine like terms: 5xy5 + -3xy5 = 2xy5
2xy5 + 8x3y + 1x3y = 0

Combine like terms: 8x3y + 1x3y = 9x3y
2xy5 + 9x3y = 0

Solving
2xy5 + 9x3y = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'xy'.
xy(2y4 + 9x2) = 0

Subproblem 1

Set the factor 'xy' equal to zero and attempt to solve: Simplifying xy = 0 Solving xy = 0 Move all terms containing x to the left, all other terms to the right. Simplifying xy = 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 '(2y4 + 9x2)' equal to zero and attempt to solve: Simplifying 2y4 + 9x2 = 0 Reorder the terms: 9x2 + 2y4 = 0 Solving 9x2 + 2y4 = 0 Move all terms containing x to the left, all other terms to the right. Add '-2y4' to each side of the equation. 9x2 + 2y4 + -2y4 = 0 + -2y4 Combine like terms: 2y4 + -2y4 = 0 9x2 + 0 = 0 + -2y4 9x2 = 0 + -2y4 Remove the zero: 9x2 = -2y4 Divide each side by '9'. x2 = -0.2222222222y4 Simplifying x2 = -0.2222222222y4 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.

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