a(2a+b)+b(1-a)=

Solution for a(2a+b)+b(1-a)= equation:

Simplifying
a(2a + b) + b(1 + -1a) = 0
(2a * a + b * a) + b(1 + -1a) = 0

Reorder the terms:
(ab + 2a2) + b(1 + -1a) = 0
(ab + 2a2) + b(1 + -1a) = 0
ab + 2a2 + (1 * b + -1a * b) = 0

Reorder the terms:
ab + 2a2 + (-1ab + 1b) = 0
ab + 2a2 + (-1ab + 1b) = 0

Reorder the terms:
ab + -1ab + 2a2 + 1b = 0

Combine like terms: ab + -1ab = 0
0 + 2a2 + 1b = 0
2a2 + 1b = 0

Solving
2a2 + 1b = 0

Solving for variable 'a'.

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

Add '-1b' to each side of the equation.
2a2 + 1b + -1b = 0 + -1b

Combine like terms: 1b + -1b = 0
2a2 + 0 = 0 + -1b
2a2 = 0 + -1b
Remove the zero:
2a2 = -1b

Divide each side by '2'.
a2 = -0.5b

Simplifying
a2 = -0.5b

Combine like terms: -0.5b + 0.5b = 0.0
a2 + 0.5b = 0.0

The solution to this equation could not be determined.