2a^2-3ab+4b^2+5ab-3b-2a^2=0

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Solution for 2a^2-3ab+4b^2+5ab-3b-2a^2=0 equation:


Simplifying
2a2 + -3ab + 4b2 + 5ab + -3b + -2a2 = 0

Reorder the terms:
-3ab + 5ab + 2a2 + -2a2 + -3b + 4b2 = 0

Combine like terms: -3ab + 5ab = 2ab
2ab + 2a2 + -2a2 + -3b + 4b2 = 0

Combine like terms: 2a2 + -2a2 = 0
2ab + 0 + -3b + 4b2 = 0
2ab + -3b + 4b2 = 0

Solving
2ab + -3b + 4b2 = 0

Solving for variable 'a'.

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

Add '3b' to each side of the equation.
2ab + -3b + 3b + 4b2 = 0 + 3b

Combine like terms: -3b + 3b = 0
2ab + 0 + 4b2 = 0 + 3b
2ab + 4b2 = 0 + 3b
Remove the zero:
2ab + 4b2 = 3b

Add '-4b2' to each side of the equation.
2ab + 4b2 + -4b2 = 3b + -4b2

Combine like terms: 4b2 + -4b2 = 0
2ab + 0 = 3b + -4b2
2ab = 3b + -4b2

Divide each side by '2b'.
a = 1.5 + -2b

Simplifying
a = 1.5 + -2b

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