3x^10-3y^14=0

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Solution for 3x^10-3y^14=0 equation:


Simplifying
3x10 + -3y14 = 0

Solving
3x10 + -3y14 = 0

Solving for variable 'x'.

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

Add '3y14' to each side of the equation.
3x10 + -3y14 + 3y14 = 0 + 3y14

Combine like terms: -3y14 + 3y14 = 0
3x10 + 0 = 0 + 3y14
3x10 = 0 + 3y14
Remove the zero:
3x10 = 3y14

Divide each side by '3'.
x10 = y14

Simplifying
x10 = y14

Combine like terms: y14 + -1y14 = 0
x10 + -1y14 = 0

Factor a difference between two squares.
(x5 + y7)(x5 + -1y7) = 0

Subproblem 1

Set the factor '(x5 + y7)' equal to zero and attempt to solve: Simplifying x5 + y7 = 0 Solving x5 + y7 = 0 Move all terms containing x to the left, all other terms to the right. Add '-1y7' to each side of the equation. x5 + y7 + -1y7 = 0 + -1y7 Combine like terms: y7 + -1y7 = 0 x5 + 0 = 0 + -1y7 x5 = 0 + -1y7 Remove the zero: x5 = -1y7 Simplifying x5 = -1y7 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 '(x5 + -1y7)' equal to zero and attempt to solve: Simplifying x5 + -1y7 = 0 Solving x5 + -1y7 = 0 Move all terms containing x to the left, all other terms to the right. Add 'y7' to each side of the equation. x5 + -1y7 + y7 = 0 + y7 Combine like terms: -1y7 + y7 = 0 x5 + 0 = 0 + y7 x5 = 0 + y7 Remove the zero: x5 = y7 Simplifying x5 = y7 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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