x^2+6bx+8b^2=0

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Solution for x^2+6bx+8b^2=0 equation: 


Simplifying
x2 + 6bx + 8b2 = 0

Reorder the terms:
6bx + 8b2 + x2 = 0

Solving
6bx + 8b2 + x2 = 0

Solving for variable 'b'.

Factor a trinomial.
(4b + x)(2b + x) = 0


Subproblem 1
Set the factor '(4b + x)' equal to zero and attempt to solve:

Simplifying
4b + x = 0

Solving
4b + x = 0

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

Add '-1x' to each side of the equation.
4b + x + -1x = 0 + -1x

Combine like terms: x + -1x = 0
4b + 0 = 0 + -1x
4b = 0 + -1x
Remove the zero:
4b = -1x

Divide each side by '4'.
b = -0.25x

Simplifying
b = -0.25x

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

Simplifying
2b + x = 0

Solving
2b + x = 0

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

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

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

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

Simplifying
b = -0.5x
Solution
b = {-0.25x, -0.5x}

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