x^2+4xb-12b^2=0

Solution for x^2+4xb-12b^2=0 equation:

Simplifying
x2 + 4xb + -12b2 = 0

Reorder the terms:
4bx + -12b2 + x2 = 0

Solving
4bx + -12b2 + x2 = 0

Solving for variable 'b'.

Factor a trinomial.
(-6b + -1x)(2b + -1x) = 0

Subproblem 1
Set the factor '(-6b + -1x)' equal to zero and attempt to solve:

Simplifying
-6b + -1x = 0

Solving
-6b + -1x = 0

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

Add 'x' to each side of the equation.
-6b + -1x + x = 0 + x

Combine like terms: -1x + x = 0
-6b + 0 = 0 + x
-6b = 0 + x
Remove the zero:
-6b = x

Divide each side by '-6'.
b = -0.1666666667x

Simplifying
b = -0.1666666667x
Subproblem 2
Set the factor '(2b + -1x)' equal to zero and attempt to solve:

Simplifying
2b + -1x = 0

Solving
2b + -1x = 0

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

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

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

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

Simplifying
b = 0.5x
Solution
b = {-0.1666666667x, 0.5x}