2a^2+ab+a^2+b^2+2ab-b^2=3a^2+4ab

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Solution for 2a^2+ab+a^2+b^2+2ab-b^2=3a^2+4ab equation:


Simplifying
2a2 + ab + a2 + b2 + 2ab + -1b2 = 3a2 + 4ab

Reorder the terms:
ab + 2ab + 2a2 + a2 + b2 + -1b2 = 3a2 + 4ab

Combine like terms: ab + 2ab = 3ab
3ab + 2a2 + a2 + b2 + -1b2 = 3a2 + 4ab

Combine like terms: 2a2 + a2 = 3a2
3ab + 3a2 + b2 + -1b2 = 3a2 + 4ab

Combine like terms: b2 + -1b2 = 0
3ab + 3a2 + 0 = 3a2 + 4ab
3ab + 3a2 = 3a2 + 4ab

Reorder the terms:
3ab + 3a2 = 4ab + 3a2

Add '-3a2' to each side of the equation.
3ab + 3a2 + -3a2 = 4ab + 3a2 + -3a2

Combine like terms: 3a2 + -3a2 = 0
3ab + 0 = 4ab + 3a2 + -3a2
3ab = 4ab + 3a2 + -3a2

Combine like terms: 3a2 + -3a2 = 0
3ab = 4ab + 0
3ab = 4ab

Solving
3ab = 4ab

Solving for variable 'a'.

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

Add '-4ab' to each side of the equation.
3ab + -4ab = 4ab + -4ab

Combine like terms: 3ab + -4ab = -1ab
-1ab = 4ab + -4ab

Combine like terms: 4ab + -4ab = 0
-1ab = 0

Divide each side by '-1'.
ab = 0

Simplifying
ab = 0

The solution to this equation could not be determined.

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