=(b^2-6mn+4x^2)-(5m^2+3mn-2x^2)

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Solution for =(b^2-6mn+4x^2)-(5m^2+3mn-2x^2) equation: 


Simplifying
0 = (b2 + -6mn + 4x2) + -1(5m2 + 3mn + -2x2)

Remove parenthesis around (b2 + -6mn + 4x2)
0 = b2 + -6mn + 4x2 + -1(5m2 + 3mn + -2x2)

Reorder the terms:
0 = b2 + -6mn + 4x2 + -1(3mn + 5m2 + -2x2)
0 = b2 + -6mn + 4x2 + (3mn * -1 + 5m2 * -1 + -2x2 * -1)
0 = b2 + -6mn + 4x2 + (-3mn + -5m2 + 2x2)

Reorder the terms:
0 = b2 + -6mn + -3mn + -5m2 + 4x2 + 2x2

Combine like terms: -6mn + -3mn = -9mn
0 = b2 + -9mn + -5m2 + 4x2 + 2x2

Combine like terms: 4x2 + 2x2 = 6x2
0 = b2 + -9mn + -5m2 + 6x2

Solving
0 = b2 + -9mn + -5m2 + 6x2

Solving for variable 'b'.

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

Add '-1b2' to each side of the equation.
0 + -1b2 = b2 + -9mn + -5m2 + -1b2 + 6x2
Remove the zero:
-1b2 = b2 + -9mn + -5m2 + -1b2 + 6x2

Reorder the terms:
-1b2 = b2 + -1b2 + -9mn + -5m2 + 6x2

Combine like terms: b2 + -1b2 = 0
-1b2 = 0 + -9mn + -5m2 + 6x2
-1b2 = -9mn + -5m2 + 6x2

Divide each side by '-1'.
b2 = 9mn + 5m2 + -6x2

Simplifying
b2 = 9mn + 5m2 + -6x2

Reorder the terms:
b2 + -9mn + -5m2 + 6x2 = 9mn + -9mn + 5m2 + -5m2 + -6x2 + 6x2

Combine like terms: 9mn + -9mn = 0
b2 + -9mn + -5m2 + 6x2 = 0 + 5m2 + -5m2 + -6x2 + 6x2
b2 + -9mn + -5m2 + 6x2 = 5m2 + -5m2 + -6x2 + 6x2

Combine like terms: 5m2 + -5m2 = 0
b2 + -9mn + -5m2 + 6x2 = 0 + -6x2 + 6x2
b2 + -9mn + -5m2 + 6x2 = -6x2 + 6x2

Combine like terms: -6x2 + 6x2 = 0
b2 + -9mn + -5m2 + 6x2 = 0

The solution to this equation could not be determined.

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