(-4m^2+3n^2-5n)-[(3m^2-5n^2+2n)+(-3m^2)+4n^2]=

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Solution for (-4m^2+3n^2-5n)-[(3m^2-5n^2+2n)+(-3m^2)+4n^2]= equation: 


Simplifying
(-4m2 + 3n2 + -5n) + -1[(3m2 + -5n2 + 2n) + (-3m2) + 4n2] = 0

Reorder the terms:
(-4m2 + -5n + 3n2) + -1[(3m2 + -5n2 + 2n) + (-3m2) + 4n2] = 0

Remove parenthesis around (-4m2 + -5n + 3n2)
-4m2 + -5n + 3n2 + -1[(3m2 + -5n2 + 2n) + (-3m2) + 4n2] = 0

Reorder the terms:
-4m2 + -5n + 3n2 + -1[(3m2 + 2n + -5n2) + (-3m2) + 4n2] = 0

Remove parenthesis around (3m2 + 2n + -5n2)
-4m2 + -5n + 3n2 + -1[3m2 + 2n + -5n2 + (-3m2) + 4n2] = 0

Reorder the terms:
-4m2 + -5n + 3n2 + -1[3m2 + (-3m2) + 2n + -5n2 + 4n2] = 0

Combine like terms: 3m2 + (-3m2) = 0
-4m2 + -5n + 3n2 + -1[0 + 2n + -5n2 + 4n2] = 0
-4m2 + -5n + 3n2 + -1[2n + -5n2 + 4n2] = 0

Combine like terms: -5n2 + 4n2 = -1n2
-4m2 + -5n + 3n2 + -1[2n + -1n2] = 0
-4m2 + -5n + 3n2 + [2n * -1 + -1n2 * -1] = 0
-4m2 + -5n + 3n2 + [-2n + 1n2] = 0

Reorder the terms:
-4m2 + -5n + -2n + 3n2 + 1n2 = 0

Combine like terms: -5n + -2n = -7n
-4m2 + -7n + 3n2 + 1n2 = 0

Combine like terms: 3n2 + 1n2 = 4n2
-4m2 + -7n + 4n2 = 0

Solving
-4m2 + -7n + 4n2 = 0

Solving for variable 'm'.

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

Add '7n' to each side of the equation.
-4m2 + -7n + 7n + 4n2 = 0 + 7n

Combine like terms: -7n + 7n = 0
-4m2 + 0 + 4n2 = 0 + 7n
-4m2 + 4n2 = 0 + 7n
Remove the zero:
-4m2 + 4n2 = 7n

Add '-4n2' to each side of the equation.
-4m2 + 4n2 + -4n2 = 7n + -4n2

Combine like terms: 4n2 + -4n2 = 0
-4m2 + 0 = 7n + -4n2
-4m2 = 7n + -4n2

Divide each side by '-4'.
m2 = -1.75n + n2

Simplifying
m2 = -1.75n + n2

Reorder the terms:
m2 + 1.75n + -1n2 = -1.75n + 1.75n + n2 + -1n2

Combine like terms: -1.75n + 1.75n = 0.00
m2 + 1.75n + -1n2 = 0.00 + n2 + -1n2
m2 + 1.75n + -1n2 = n2 + -1n2

Combine like terms: n2 + -1n2 = 0
m2 + 1.75n + -1n2 = 0

The solution to this equation could not be determined.

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