6x^2y=2+2x^2y

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Solution for 6x^2y=2+2x^2y equation:


Simplifying
6x2y = 2 + 2x2y

Solving
6x2y = 2 + 2x2y

Solving for variable 'x'.

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

Add '-2x2y' to each side of the equation.
6x2y + -2x2y = 2 + 2x2y + -2x2y

Combine like terms: 6x2y + -2x2y = 4x2y
4x2y = 2 + 2x2y + -2x2y

Combine like terms: 2x2y + -2x2y = 0
4x2y = 2 + 0
4x2y = 2

Divide each side by '4y'.
x2 = 0.5y-1

Simplifying
x2 = 0.5y-1

Combine like terms: 0.5y-1 + -0.5y-1 = 0.0
x2 + -0.5y-1 = 0.0

Factor out the Greatest Common Factor (GCF), 'y-1'.
y-1(x2y + -0.5) = 0.0

Subproblem 1

Set the factor 'y-1' equal to zero and attempt to solve: Simplifying y-1 = 0 Solving y-1 = 0 Move all terms containing x to the left, all other terms to the right. Add '-1y-1' to each side of the equation. y-1 + -1y-1 = 0 + -1y-1 Remove the zero: 0 = -1y-1 Simplifying 0 = -1y-1 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 '(x2y + -0.5)' equal to zero and attempt to solve: Simplifying x2y + -0.5 = 0 Reorder the terms: -0.5 + x2y = 0 Solving -0.5 + x2y = 0 Move all terms containing x to the left, all other terms to the right. Add '0.5' to each side of the equation. -0.5 + 0.5 + x2y = 0 + 0.5 Combine like terms: -0.5 + 0.5 = 0.0 0.0 + x2y = 0 + 0.5 x2y = 0 + 0.5 Combine like terms: 0 + 0.5 = 0.5 x2y = 0.5 Divide each side by 'y'. x2 = 0.5y-1 Simplifying x2 = 0.5y-1 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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