30=b^2+4b^2

Solution for 30=b^2+4b^2 equation:

Simplifying
30 = b2 + 4b2

Combine like terms: b2 + 4b2 = 5b2
30 = 5b2

Solving
30 = 5b2

Solving for variable 'b'.

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

Add '-5b2' to each side of the equation.
30 + -5b2 = 5b2 + -5b2

Combine like terms: 5b2 + -5b2 = 0
30 + -5b2 = 0

Add '-30' to each side of the equation.
30 + -30 + -5b2 = 0 + -30

Combine like terms: 30 + -30 = 0
0 + -5b2 = 0 + -30
-5b2 = 0 + -30

Combine like terms: 0 + -30 = -30
-5b2 = -30

Divide each side by '-5'.
b2 = 6

Simplifying
b2 = 6

Take the square root of each side:
b = {-2.449489743, 2.449489743}