75=6*b^2

Solution for 75=6*b^2 equation:

Simplifying
75 = 6b2

Solving
75 = 6b2

Solving for variable 'b'.

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

Add '-6b2' to each side of the equation.
75 + -6b2 = 6b2 + -6b2

Combine like terms: 6b2 + -6b2 = 0
75 + -6b2 = 0

Add '-75' to each side of the equation.
75 + -75 + -6b2 = 0 + -75

Combine like terms: 75 + -75 = 0
0 + -6b2 = 0 + -75
-6b2 = 0 + -75

Combine like terms: 0 + -75 = -75
-6b2 = -75

Divide each side by '-6'.
b2 = 12.5

Simplifying
b2 = 12.5

Take the square root of each side:
b = {-3.535533906, 3.535533906}