(7m^2+3n-11)-(9m^2-10n+2+n^2)=

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Solution for (7m^2+3n-11)-(9m^2-10n+2+n^2)= equation: 


Simplifying
(7m2 + 3n + -11) + -1(9m2 + -10n + 2 + n2) = 0

Reorder the terms:
(-11 + 7m2 + 3n) + -1(9m2 + -10n + 2 + n2) = 0

Remove parenthesis around (-11 + 7m2 + 3n)
-11 + 7m2 + 3n + -1(9m2 + -10n + 2 + n2) = 0

Reorder the terms:
-11 + 7m2 + 3n + -1(2 + 9m2 + -10n + n2) = 0
-11 + 7m2 + 3n + (2 * -1 + 9m2 * -1 + -10n * -1 + n2 * -1) = 0
-11 + 7m2 + 3n + (-2 + -9m2 + 10n + -1n2) = 0

Reorder the terms:
-11 + -2 + 7m2 + -9m2 + 3n + 10n + -1n2 = 0

Combine like terms: -11 + -2 = -13
-13 + 7m2 + -9m2 + 3n + 10n + -1n2 = 0

Combine like terms: 7m2 + -9m2 = -2m2
-13 + -2m2 + 3n + 10n + -1n2 = 0

Combine like terms: 3n + 10n = 13n
-13 + -2m2 + 13n + -1n2 = 0

Solving
-13 + -2m2 + 13n + -1n2 = 0

Solving for variable 'm'.

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

Add '13' to each side of the equation.
-13 + -2m2 + 13n + 13 + -1n2 = 0 + 13

Reorder the terms:
-13 + 13 + -2m2 + 13n + -1n2 = 0 + 13

Combine like terms: -13 + 13 = 0
0 + -2m2 + 13n + -1n2 = 0 + 13
-2m2 + 13n + -1n2 = 0 + 13

Combine like terms: 0 + 13 = 13
-2m2 + 13n + -1n2 = 13

Add '-13n' to each side of the equation.
-2m2 + 13n + -13n + -1n2 = 13 + -13n

Combine like terms: 13n + -13n = 0
-2m2 + 0 + -1n2 = 13 + -13n
-2m2 + -1n2 = 13 + -13n

Add 'n2' to each side of the equation.
-2m2 + -1n2 + n2 = 13 + -13n + n2

Combine like terms: -1n2 + n2 = 0
-2m2 + 0 = 13 + -13n + n2
-2m2 = 13 + -13n + n2

Divide each side by '-2'.
m2 = -6.5 + 6.5n + -0.5n2

Simplifying
m2 = -6.5 + 6.5n + -0.5n2

Reorder the terms:
6.5 + m2 + -6.5n + 0.5n2 = -6.5 + 6.5n + -0.5n2 + 6.5 + -6.5n + 0.5n2

Reorder the terms:
6.5 + m2 + -6.5n + 0.5n2 = -6.5 + 6.5 + 6.5n + -6.5n + -0.5n2 + 0.5n2

Combine like terms: -6.5 + 6.5 = 0.0
6.5 + m2 + -6.5n + 0.5n2 = 0.0 + 6.5n + -6.5n + -0.5n2 + 0.5n2
6.5 + m2 + -6.5n + 0.5n2 = 6.5n + -6.5n + -0.5n2 + 0.5n2

Combine like terms: 6.5n + -6.5n = 0.0
6.5 + m2 + -6.5n + 0.5n2 = 0.0 + -0.5n2 + 0.5n2
6.5 + m2 + -6.5n + 0.5n2 = -0.5n2 + 0.5n2

Combine like terms: -0.5n2 + 0.5n2 = 0.0
6.5 + m2 + -6.5n + 0.5n2 = 0.0

The solution to this equation could not be determined.

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