2a^2+1=149

Solution for 2a^2+1=149 equation:

Simplifying
2a2 + 1 = 149

Reorder the terms:
1 + 2a2 = 149

Solving
1 + 2a2 = 149

Solving for variable 'a'.

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

Add '-1' to each side of the equation.
1 + -1 + 2a2 = 149 + -1

Combine like terms: 1 + -1 = 0
0 + 2a2 = 149 + -1
2a2 = 149 + -1

Combine like terms: 149 + -1 = 148
2a2 = 148

Divide each side by '2'.
a2 = 74

Simplifying
a2 = 74

Take the square root of each side:
a = {-8.602325267, 8.602325267}