(A-a)(2a+1)=0

Solution for (A-a)(2a+1)=0 equation:

Simplifying
(A + -1a)(2a + 1) = 0

Reorder the terms:
(A + -1a)(1 + 2a) = 0

Multiply (A + -1a) * (1 + 2a)
(A(1 + 2a) + -1a * (1 + 2a)) = 0
((1 * A + 2a * A) + -1a * (1 + 2a)) = 0
((1A + 2aA) + -1a * (1 + 2a)) = 0
(1A + 2aA + (1 * -1a + 2a * -1a)) = 0
(1A + 2aA + (-1a + -2a2)) = 0

Reorder the terms:
(1A + -1a + 2aA + -2a2) = 0
(1A + -1a + 2aA + -2a2) = 0

Solving
1A + -1a + 2aA + -2a2 = 0

Solving for variable 'A'.

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

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

Reorder the terms:
1A + -1a + a + 2aA + -2a2 = 0 + a

Combine like terms: -1a + a = 0
1A + 0 + 2aA + -2a2 = 0 + a
1A + 2aA + -2a2 = 0 + a
Remove the zero:
1A + 2aA + -2a2 = a

Add '2a2' to each side of the equation.
1A + 2aA + -2a2 + 2a2 = a + 2a2

Combine like terms: -2a2 + 2a2 = 0
1A + 2aA + 0 = a + 2a2
1A + 2aA = a + 2a2

Reorder the terms:
1A + -1a + 2aA + -2a2 = a + 2a2 + -1a + -2a2

Reorder the terms:
1A + -1a + 2aA + -2a2 = a + -1a + 2a2 + -2a2

Combine like terms: a + -1a = 0
1A + -1a + 2aA + -2a2 = 0 + 2a2 + -2a2
1A + -1a + 2aA + -2a2 = 2a2 + -2a2

Combine like terms: 2a2 + -2a2 = 0
1A + -1a + 2aA + -2a2 = 0

The solution to this equation could not be determined.