4b^2-6=138

Solution for 4b^2-6=138 equation:

Simplifying
4b2 + -6 = 138

Reorder the terms:
-6 + 4b2 = 138

Solving
-6 + 4b2 = 138

Solving for variable 'b'.

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

Add '6' to each side of the equation.
-6 + 6 + 4b2 = 138 + 6

Combine like terms: -6 + 6 = 0
0 + 4b2 = 138 + 6
4b2 = 138 + 6

Combine like terms: 138 + 6 = 144
4b2 = 144

Divide each side by '4'.
b2 = 36

Simplifying
b2 = 36

Take the square root of each side:
b = {-6, 6}