4a^2-1=99

Solution for 4a^2-1=99 equation:

Simplifying
4a2 + -1 = 99

Reorder the terms:
-1 + 4a2 = 99

Solving
-1 + 4a2 = 99

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 + 4a2 = 99 + 1

Combine like terms: -1 + 1 = 0
0 + 4a2 = 99 + 1
4a2 = 99 + 1

Combine like terms: 99 + 1 = 100
4a2 = 100

Divide each side by '4'.
a2 = 25

Simplifying
a2 = 25

Take the square root of each side:
a = {-5, 5}