24b^2+8b=4b*x

Solution for 24b^2+8b=4b*x equation:

Simplifying
24b2 + 8b = 4b * x

Reorder the terms:
8b + 24b2 = 4b * x

Multiply b * x
8b + 24b2 = 4bx

Solving
8b + 24b2 = 4bx

Solving for variable 'b'.

Reorder the terms:
8b + -4bx + 24b2 = 4bx + -4bx

Combine like terms: 4bx + -4bx = 0
8b + -4bx + 24b2 = 0

Factor out the Greatest Common Factor (GCF), '4b'.
4b(2 + -1x + 6b) = 0

Ignore the factor 4.
Subproblem 1
Set the factor 'b' equal to zero and attempt to solve:

Simplifying
b = 0

Solving
b = 0

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

Simplifying
b = 0
Subproblem 2
Set the factor '(2 + -1x + 6b)' equal to zero and attempt to solve:

Simplifying
2 + -1x + 6b = 0

Reorder the terms:
2 + 6b + -1x = 0

Solving
2 + 6b + -1x = 0

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

Add '-2' to each side of the equation.
2 + 6b + -2 + -1x = 0 + -2

Reorder the terms:
2 + -2 + 6b + -1x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + 6b + -1x = 0 + -2
6b + -1x = 0 + -2

Combine like terms: 0 + -2 = -2
6b + -1x = -2

Add 'x' to each side of the equation.
6b + -1x + x = -2 + x

Combine like terms: -1x + x = 0
6b + 0 = -2 + x
6b = -2 + x

Divide each side by '6'.
b = -0.3333333333 + 0.1666666667x

Simplifying
b = -0.3333333333 + 0.1666666667x
Solution
b = {0, -0.3333333333 + 0.1666666667x}