(4X^2-1)=27

Solution for (4X^2-1)=27 equation:

Simplifying
(4X2 + -1) = 27

Reorder the terms:
(-1 + 4X2) = 27

Remove parenthesis around (-1 + 4X2)
-1 + 4X2 = 27

Solving
-1 + 4X2 = 27

Solving for variable 'X'.

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

Add '1' to each side of the equation.
-1 + 1 + 4X2 = 27 + 1

Combine like terms: -1 + 1 = 0
0 + 4X2 = 27 + 1
4X2 = 27 + 1

Combine like terms: 27 + 1 = 28
4X2 = 28

Divide each side by '4'.
X2 = 7

Simplifying
X2 = 7

Take the square root of each side:
X = {-2.645751311, 2.645751311}