(2g-1)(2g-1)=

Solution for (2g-1)(2g-1)= equation:

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

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

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

Multiply (-1 + 2g) * (-1 + 2g)
(-1(-1 + 2g) + 2g * (-1 + 2g)) = 0
((-1 * -1 + 2g * -1) + 2g * (-1 + 2g)) = 0
((1 + -2g) + 2g * (-1 + 2g)) = 0
(1 + -2g + (-1 * 2g + 2g * 2g)) = 0
(1 + -2g + (-2g + 4g2)) = 0

Combine like terms: -2g + -2g = -4g
(1 + -4g + 4g2) = 0

Solving
1 + -4g + 4g2 = 0

Solving for variable 'g'.

Factor a trinomial.
(1 + -2g)(1 + -2g) = 0

Subproblem 1
Set the factor '(1 + -2g)' equal to zero and attempt to solve:

Simplifying
1 + -2g = 0

Solving
1 + -2g = 0

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

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

Combine like terms: 1 + -1 = 0
0 + -2g = 0 + -1
-2g = 0 + -1

Combine like terms: 0 + -1 = -1
-2g = -1

Divide each side by '-2'.
g = 0.5

Simplifying
g = 0.5
Subproblem 2
Set the factor '(1 + -2g)' equal to zero and attempt to solve:

Simplifying
1 + -2g = 0

Solving
1 + -2g = 0

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

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

Combine like terms: 1 + -1 = 0
0 + -2g = 0 + -1
-2g = 0 + -1

Combine like terms: 0 + -1 = -1
-2g = -1

Divide each side by '-2'.
g = 0.5

Simplifying
g = 0.5
Solution
g = {0.5, 0.5}