M*m+4n*n+4mn-8m-16n+15=0

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Solution for M*m+4n*n+4mn-8m-16n+15=0 equation: 


Simplifying
M * m + 4n * n + 4mn + -8m + -16n + 15 = 0

Multiply M * m
mM + 4n * n + 4mn + -8m + -16n + 15 = 0

Multiply n * n
mM + 4n2 + 4mn + -8m + -16n + 15 = 0

Reorder the terms:
15 + -8m + mM + 4mn + -16n + 4n2 = 0

Solving
15 + -8m + mM + 4mn + -16n + 4n2 = 0

Solving for variable 'm'.

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

Add '-15' to each side of the equation.
15 + -8m + mM + 4mn + -16n + -15 + 4n2 = 0 + -15

Reorder the terms:
15 + -15 + -8m + mM + 4mn + -16n + 4n2 = 0 + -15

Combine like terms: 15 + -15 = 0
0 + -8m + mM + 4mn + -16n + 4n2 = 0 + -15
-8m + mM + 4mn + -16n + 4n2 = 0 + -15

Combine like terms: 0 + -15 = -15
-8m + mM + 4mn + -16n + 4n2 = -15

Add '16n' to each side of the equation.
-8m + mM + 4mn + -16n + 16n + 4n2 = -15 + 16n

Combine like terms: -16n + 16n = 0
-8m + mM + 4mn + 0 + 4n2 = -15 + 16n
-8m + mM + 4mn + 4n2 = -15 + 16n

Add '-4n2' to each side of the equation.
-8m + mM + 4mn + 4n2 + -4n2 = -15 + 16n + -4n2

Combine like terms: 4n2 + -4n2 = 0
-8m + mM + 4mn + 0 = -15 + 16n + -4n2
-8m + mM + 4mn = -15 + 16n + -4n2

Reorder the terms:
15 + -8m + mM + 4mn + -16n + 4n2 = -15 + 16n + -4n2 + 15 + -16n + 4n2

Reorder the terms:
15 + -8m + mM + 4mn + -16n + 4n2 = -15 + 15 + 16n + -16n + -4n2 + 4n2

Combine like terms: -15 + 15 = 0
15 + -8m + mM + 4mn + -16n + 4n2 = 0 + 16n + -16n + -4n2 + 4n2
15 + -8m + mM + 4mn + -16n + 4n2 = 16n + -16n + -4n2 + 4n2

Combine like terms: 16n + -16n = 0
15 + -8m + mM + 4mn + -16n + 4n2 = 0 + -4n2 + 4n2
15 + -8m + mM + 4mn + -16n + 4n2 = -4n2 + 4n2

Combine like terms: -4n2 + 4n2 = 0
15 + -8m + mM + 4mn + -16n + 4n2 = 0

The solution to this equation could not be determined.

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