a^2+ab+b^2=

Solution for a^2+ab+b^2= equation:

Simplifying
a2 + ab + b2 = 0

Reorder the terms:
ab + a2 + b2 = 0

Solving
ab + a2 + b2 = 0

Solving for variable 'a'.

Begin completing the square.

Move the constant term to the right:

Add '-1b2' to each side of the equation.
ab + a2 + b2 + -1b2 = 0 + -1b2

Combine like terms: b2 + -1b2 = 0
ab + a2 + 0 = 0 + -1b2
ab + a2 = 0 + -1b2
Remove the zero:
ab + a2 = -1b2

The a term is ab.  Take half its coefficient (0.5b).
Square it (0.25b2) and add it to both sides.

Add '0.25b2' to each side of the equation.
ab + a2 + 0.25b2 = -1b2 + 0.25b2

Combine like terms: -1b2 + 0.25b2 = -0.75b2
ab + a2 + 0.25b2 = -0.75b2

Factor a perfect square on the left side:
(a + 0.5b)(a + 0.5b) = -0.75b2

Can't calculate square root of the right side.

The solution to this equation could not be determined.