(2b+nu)(2b+nu)=0

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Solution for (2b+nu)(2b+nu)=0 equation: 


Simplifying
(2b + nu)(2b + nu) = 0

Multiply (2b + nu) * (2b + nu)
(2b * (2b + nu) + nu(2b + nu)) = 0
((2b * 2b + nu * 2b) + nu(2b + nu)) = 0

Reorder the terms:
((2bnu + 4b2) + nu(2b + nu)) = 0
((2bnu + 4b2) + nu(2b + nu)) = 0
(2bnu + 4b2 + (2b * nu + nu * nu)) = 0
(2bnu + 4b2 + (2bnu + n2u2)) = 0

Reorder the terms:
(2bnu + 2bnu + 4b2 + n2u2) = 0

Combine like terms: 2bnu + 2bnu = 4bnu
(4bnu + 4b2 + n2u2) = 0

Solving
4bnu + 4b2 + n2u2 = 0

Solving for variable 'b'.

Factor a trinomial.
(2b + nu)(2b + nu) = 0


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

Simplifying
2b + nu = 0

Solving
2b + nu = 0

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

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

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

Divide each side by '2'.
b = -0.5nu

Simplifying
b = -0.5nu

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

Simplifying
2b + nu = 0

Solving
2b + nu = 0

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

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

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

Divide each side by '2'.
b = -0.5nu

Simplifying
b = -0.5nu
Solution
b = {-0.5nu, -0.5nu}

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