(2p-1)(2p-1)=

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

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

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

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

Multiply (-1 + 2p) * (-1 + 2p)
(-1(-1 + 2p) + 2p * (-1 + 2p)) = 0
((-1 * -1 + 2p * -1) + 2p * (-1 + 2p)) = 0
((1 + -2p) + 2p * (-1 + 2p)) = 0
(1 + -2p + (-1 * 2p + 2p * 2p)) = 0
(1 + -2p + (-2p + 4p2)) = 0

Combine like terms: -2p + -2p = -4p
(1 + -4p + 4p2) = 0

Solving
1 + -4p + 4p2 = 0

Solving for variable 'p'.

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

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

Simplifying
1 + -2p = 0

Solving
1 + -2p = 0

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

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

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

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

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

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

Simplifying
1 + -2p = 0

Solving
1 + -2p = 0

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

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

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

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

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

Simplifying
p = 0.5
Solution
p = {0.5, 0.5}