4a^2-9=35

Solution for 4a^2-9=35 equation:

Simplifying
4a2 + -9 = 35

Reorder the terms:
-9 + 4a2 = 35

Solving
-9 + 4a2 = 35

Solving for variable 'a'.

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

Add '9' to each side of the equation.
-9 + 9 + 4a2 = 35 + 9

Combine like terms: -9 + 9 = 0
0 + 4a2 = 35 + 9
4a2 = 35 + 9

Combine like terms: 35 + 9 = 44
4a2 = 44

Divide each side by '4'.
a2 = 11

Simplifying
a2 = 11

Take the square root of each side:
a = {-3.31662479, 3.31662479}