2b^2+30=4b^2

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

Simplifying
2b2 + 30 = 4b2

Reorder the terms:
30 + 2b2 = 4b2

Solving
30 + 2b2 = 4b2

Solving for variable 'b'.

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

Add '-4b2' to each side of the equation.
30 + 2b2 + -4b2 = 4b2 + -4b2

Combine like terms: 2b2 + -4b2 = -2b2
30 + -2b2 = 4b2 + -4b2

Combine like terms: 4b2 + -4b2 = 0
30 + -2b2 = 0

Add '-30' to each side of the equation.
30 + -30 + -2b2 = 0 + -30

Combine like terms: 30 + -30 = 0
0 + -2b2 = 0 + -30
-2b2 = 0 + -30

Combine like terms: 0 + -30 = -30
-2b2 = -30

Divide each side by '-2'.
b2 = 15

Simplifying
b2 = 15

Take the square root of each side:
b = {-3.872983346, 3.872983346}