2A^2-ab-6b^2=0

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Solution for 2A^2-ab-6b^2=0 equation:


Simplifying
2A2 + -1ab + -6b2 = 0

Solving
2A2 + -1ab + -6b2 = 0

Solving for variable 'A'.

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

Add 'ab' to each side of the equation.
2A2 + -1ab + ab + -6b2 = 0 + ab

Combine like terms: -1ab + ab = 0
2A2 + 0 + -6b2 = 0 + ab
2A2 + -6b2 = 0 + ab
Remove the zero:
2A2 + -6b2 = ab

Add '6b2' to each side of the equation.
2A2 + -6b2 + 6b2 = ab + 6b2

Combine like terms: -6b2 + 6b2 = 0
2A2 + 0 = ab + 6b2
2A2 = ab + 6b2

Divide each side by '2'.
A2 = 0.5ab + 3b2

Simplifying
A2 = 0.5ab + 3b2

Reorder the terms:
A2 + -0.5ab + -3b2 = 0.5ab + -0.5ab + 3b2 + -3b2

Combine like terms: 0.5ab + -0.5ab = 0.0
A2 + -0.5ab + -3b2 = 0.0 + 3b2 + -3b2
A2 + -0.5ab + -3b2 = 3b2 + -3b2

Combine like terms: 3b2 + -3b2 = 0
A2 + -0.5ab + -3b2 = 0

The solution to this equation could not be determined.

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