M^2-4m+4-n^2+6n-9=

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Solution for M^2-4m+4-n^2+6n-9= equation:


Simplifying
M2 + -4m + 4 + -1n2 + 6n + -9 = 0

Reorder the terms:
4 + -9 + M2 + -4m + 6n + -1n2 = 0

Combine like terms: 4 + -9 = -5
-5 + M2 + -4m + 6n + -1n2 = 0

Solving
-5 + M2 + -4m + 6n + -1n2 = 0

Solving for variable 'M'.

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

Add '5' to each side of the equation.
-5 + M2 + -4m + 6n + 5 + -1n2 = 0 + 5

Reorder the terms:
-5 + 5 + M2 + -4m + 6n + -1n2 = 0 + 5

Combine like terms: -5 + 5 = 0
0 + M2 + -4m + 6n + -1n2 = 0 + 5
M2 + -4m + 6n + -1n2 = 0 + 5

Combine like terms: 0 + 5 = 5
M2 + -4m + 6n + -1n2 = 5

Add '4m' to each side of the equation.
M2 + -4m + 6n + 4m + -1n2 = 5 + 4m

Reorder the terms:
M2 + -4m + 4m + 6n + -1n2 = 5 + 4m

Combine like terms: -4m + 4m = 0
M2 + 0 + 6n + -1n2 = 5 + 4m
M2 + 6n + -1n2 = 5 + 4m

Add '-6n' to each side of the equation.
M2 + 6n + -6n + -1n2 = 5 + 4m + -6n

Combine like terms: 6n + -6n = 0
M2 + 0 + -1n2 = 5 + 4m + -6n
M2 + -1n2 = 5 + 4m + -6n

Add 'n2' to each side of the equation.
M2 + -1n2 + n2 = 5 + 4m + -6n + n2

Combine like terms: -1n2 + n2 = 0
M2 + 0 = 5 + 4m + -6n + n2
M2 = 5 + 4m + -6n + n2

Simplifying
M2 = 5 + 4m + -6n + n2

Reorder the terms:
-5 + M2 + -4m + 6n + -1n2 = 5 + 4m + -6n + n2 + -5 + -4m + 6n + -1n2

Reorder the terms:
-5 + M2 + -4m + 6n + -1n2 = 5 + -5 + 4m + -4m + -6n + 6n + n2 + -1n2

Combine like terms: 5 + -5 = 0
-5 + M2 + -4m + 6n + -1n2 = 0 + 4m + -4m + -6n + 6n + n2 + -1n2
-5 + M2 + -4m + 6n + -1n2 = 4m + -4m + -6n + 6n + n2 + -1n2

Combine like terms: 4m + -4m = 0
-5 + M2 + -4m + 6n + -1n2 = 0 + -6n + 6n + n2 + -1n2
-5 + M2 + -4m + 6n + -1n2 = -6n + 6n + n2 + -1n2

Combine like terms: -6n + 6n = 0
-5 + M2 + -4m + 6n + -1n2 = 0 + n2 + -1n2
-5 + M2 + -4m + 6n + -1n2 = n2 + -1n2

Combine like terms: n2 + -1n2 = 0
-5 + M2 + -4m + 6n + -1n2 = 0

The solution to this equation could not be determined.

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