b^2+4=-4b

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Solution for b^2+4=-4b equation:


Simplifying
b2 + 4 = -4b

Reorder the terms:
4 + b2 = -4b

Solving
4 + b2 = -4b

Solving for variable 'b'.

Reorder the terms:
4 + 4b + b2 = -4b + 4b

Combine like terms: -4b + 4b = 0
4 + 4b + b2 = 0

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

Subproblem 1

Set the factor '(2 + b)' equal to zero and attempt to solve: Simplifying 2 + b = 0 Solving 2 + b = 0 Move all terms containing b to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + b = 0 + -2 Combine like terms: 2 + -2 = 0 0 + b = 0 + -2 b = 0 + -2 Combine like terms: 0 + -2 = -2 b = -2 Simplifying b = -2

Subproblem 2

Set the factor '(2 + b)' equal to zero and attempt to solve: Simplifying 2 + b = 0 Solving 2 + b = 0 Move all terms containing b to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + b = 0 + -2 Combine like terms: 2 + -2 = 0 0 + b = 0 + -2 b = 0 + -2 Combine like terms: 0 + -2 = -2 b = -2 Simplifying b = -2

Solution

b = {-2, -2}

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