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

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

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

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

Multiply (-1 + 2a) * (1 + 2a)
(-1(1 + 2a) + 2a * (1 + 2a)) = 0
((1 * -1 + 2a * -1) + 2a * (1 + 2a)) = 0
((-1 + -2a) + 2a * (1 + 2a)) = 0
(-1 + -2a + (1 * 2a + 2a * 2a)) = 0
(-1 + -2a + (2a + 4a2)) = 0

Combine like terms: -2a + 2a = 0
(-1 + 0 + 4a2) = 0
(-1 + 4a2) = 0

Solving
-1 + 4a2 = 0

Solving for variable 'a'.

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

Add '1' to each side of the equation.
-1 + 1 + 4a2 = 0 + 1

Combine like terms: -1 + 1 = 0
0 + 4a2 = 0 + 1
4a2 = 0 + 1

Combine like terms: 0 + 1 = 1
4a2 = 1

Divide each side by '4'.
a2 = 0.25

Simplifying
a2 = 0.25

Take the square root of each side:
a = {-0.5, 0.5}