x^2-45b^2=4xb

Solution for x^2-45b^2=4xb equation:

Simplifying
x2 + -45b2 = 4xb

Reorder the terms:
-45b2 + x2 = 4xb

Solving
-45b2 + x2 = 4bx

Solving for variable 'b'.

Reorder the terms:
-4bx + -45b2 + x2 = 4bx + -4bx

Combine like terms: 4bx + -4bx = 0
-4bx + -45b2 + x2 = 0

Factor a trinomial.
(-5b + -1x)(9b + -1x) = 0

Subproblem 1
Set the factor '(-5b + -1x)' equal to zero and attempt to solve:

Simplifying
-5b + -1x = 0

Solving
-5b + -1x = 0

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

Add 'x' to each side of the equation.
-5b + -1x + x = 0 + x

Combine like terms: -1x + x = 0
-5b + 0 = 0 + x
-5b = 0 + x
Remove the zero:
-5b = x

Divide each side by '-5'.
b = -0.2x

Simplifying
b = -0.2x
Subproblem 2
Set the factor '(9b + -1x)' equal to zero and attempt to solve:

Simplifying
9b + -1x = 0

Solving
9b + -1x = 0

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

Add 'x' to each side of the equation.
9b + -1x + x = 0 + x

Combine like terms: -1x + x = 0
9b + 0 = 0 + x
9b = 0 + x
Remove the zero:
9b = x

Divide each side by '9'.
b = 0.1111111111x

Simplifying
b = 0.1111111111x
Solution
b = {-0.2x, 0.1111111111x}