3m^2+5n^2=21

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Solution for 3m^2+5n^2=21 equation: 


Simplifying
3m2 + 5n2 = 21

Solving
3m2 + 5n2 = 21

Solving for variable 'm'.

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

Add '-5n2' to each side of the equation.
3m2 + 5n2 + -5n2 = 21 + -5n2

Combine like terms: 5n2 + -5n2 = 0
3m2 + 0 = 21 + -5n2
3m2 = 21 + -5n2

Divide each side by '3'.
m2 = 7 + -1.666666667n2

Simplifying
m2 = 7 + -1.666666667n2

Reorder the terms:
-7 + m2 + 1.666666667n2 = 7 + -1.666666667n2 + -7 + 1.666666667n2

Reorder the terms:
-7 + m2 + 1.666666667n2 = 7 + -7 + -1.666666667n2 + 1.666666667n2

Combine like terms: 7 + -7 = 0
-7 + m2 + 1.666666667n2 = 0 + -1.666666667n2 + 1.666666667n2
-7 + m2 + 1.666666667n2 = -1.666666667n2 + 1.666666667n2

Combine like terms: -1.666666667n2 + 1.666666667n2 = 0.000000000
-7 + m2 + 1.666666667n2 = 0.000000000

The solution to this equation could not be determined.

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