(3m+n^2)(3m-n^2)=y

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Solution for (3m+n^2)(3m-n^2)=y equation:


Simplifying
(3m + n2)(3m + -1n2) = y

Multiply (3m + n2) * (3m + -1n2)
(3m * (3m + -1n2) + n2(3m + -1n2)) = y
((3m * 3m + -1n2 * 3m) + n2(3m + -1n2)) = y

Reorder the terms:
((-3mn2 + 9m2) + n2(3m + -1n2)) = y
((-3mn2 + 9m2) + n2(3m + -1n2)) = y
(-3mn2 + 9m2 + (3m * n2 + -1n2 * n2)) = y
(-3mn2 + 9m2 + (3mn2 + -1n4)) = y

Reorder the terms:
(-3mn2 + 3mn2 + 9m2 + -1n4) = y

Combine like terms: -3mn2 + 3mn2 = 0
(0 + 9m2 + -1n4) = y
(9m2 + -1n4) = y

Solving
9m2 + -1n4 = y

Solving for variable 'm'.

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

Add 'n4' to each side of the equation.
9m2 + -1n4 + n4 = n4 + y

Combine like terms: -1n4 + n4 = 0
9m2 + 0 = n4 + y
9m2 = n4 + y

Divide each side by '9'.
m2 = 0.1111111111n4 + 0.1111111111y

Simplifying
m2 = 0.1111111111n4 + 0.1111111111y

Reorder the terms:
m2 + -0.1111111111n4 + -0.1111111111y = 0.1111111111n4 + -0.1111111111n4 + 0.1111111111y + -0.1111111111y

Combine like terms: 0.1111111111n4 + -0.1111111111n4 = 0.0000000000
m2 + -0.1111111111n4 + -0.1111111111y = 0.0000000000 + 0.1111111111y + -0.1111111111y
m2 + -0.1111111111n4 + -0.1111111111y = 0.1111111111y + -0.1111111111y

Combine like terms: 0.1111111111y + -0.1111111111y = 0.0000000000
m2 + -0.1111111111n4 + -0.1111111111y = 0.0000000000

The solution to this equation could not be determined.

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