3a^2+1=43

Solution for 3a^2+1=43 equation:

Simplifying
3a2 + 1 = 43

Reorder the terms:
1 + 3a2 = 43

Solving
1 + 3a2 = 43

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 + 3a2 = 43 + -1

Combine like terms: 1 + -1 = 0
0 + 3a2 = 43 + -1
3a2 = 43 + -1

Combine like terms: 43 + -1 = 42
3a2 = 42

Divide each side by '3'.
a2 = 14

Simplifying
a2 = 14

Take the square root of each side:
a = {-3.741657387, 3.741657387}