7mx^2+2nx^2-7my^2-2ny^2=0

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Solution for 7mx^2+2nx^2-7my^2-2ny^2=0 equation: 


Simplifying
7mx2 + 2nx2 + -7my2 + -2ny2 = 0

Reorder the terms:
7mx2 + -7my2 + 2nx2 + -2ny2 = 0

Solving
7mx2 + -7my2 + 2nx2 + -2ny2 = 0

Solving for variable 'm'.

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

Add '-2nx2' to each side of the equation.
7mx2 + -7my2 + 2nx2 + -2nx2 + -2ny2 = 0 + -2nx2

Combine like terms: 2nx2 + -2nx2 = 0
7mx2 + -7my2 + 0 + -2ny2 = 0 + -2nx2
7mx2 + -7my2 + -2ny2 = 0 + -2nx2
Remove the zero:
7mx2 + -7my2 + -2ny2 = -2nx2

Add '2ny2' to each side of the equation.
7mx2 + -7my2 + -2ny2 + 2ny2 = -2nx2 + 2ny2

Combine like terms: -2ny2 + 2ny2 = 0
7mx2 + -7my2 + 0 = -2nx2 + 2ny2
7mx2 + -7my2 = -2nx2 + 2ny2

Reorder the terms:
7mx2 + -7my2 + 2nx2 + -2ny2 = -2nx2 + 2nx2 + 2ny2 + -2ny2

Combine like terms: -2nx2 + 2nx2 = 0
7mx2 + -7my2 + 2nx2 + -2ny2 = 0 + 2ny2 + -2ny2
7mx2 + -7my2 + 2nx2 + -2ny2 = 2ny2 + -2ny2

Combine like terms: 2ny2 + -2ny2 = 0
7mx2 + -7my2 + 2nx2 + -2ny2 = 0

The solution to this equation could not be determined.

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