p^2-4bp+4b^2=0

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Solution for p^2-4bp+4b^2=0 equation: 


Simplifying
p2 + -4bp + 4b2 = 0

Reorder the terms:
-4bp + 4b2 + p2 = 0

Solving
-4bp + 4b2 + p2 = 0

Solving for variable 'b'.

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


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

Simplifying
2b + -1p = 0

Solving
2b + -1p = 0

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

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

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

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

Simplifying
b = 0.5p

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

Simplifying
2b + -1p = 0

Solving
2b + -1p = 0

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

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

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

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

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

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