x^2-17xb+72b^2=0

Solution for x^2-17xb+72b^2=0 equation:

Simplifying
x2 + -17xb + 72b2 = 0

Reorder the terms:
-17bx + 72b2 + x2 = 0

Solving
-17bx + 72b2 + x2 = 0

Solving for variable 'b'.

Factor a trinomial.
(8b + -1x)(9b + -1x) = 0

Subproblem 1
Set the factor '(8b + -1x)' equal to zero and attempt to solve:

Simplifying
8b + -1x = 0

Solving
8b + -1x = 0

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

Add 'x' to each side of the equation.
8b + -1x + x = 0 + x

Combine like terms: -1x + x = 0
8b + 0 = 0 + x
8b = 0 + x
Remove the zero:
8b = x

Divide each side by '8'.
b = 0.125x

Simplifying
b = 0.125x
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 = {0.125x, 0.1111111111x}