4(x^2-3)=1

Solution for 4(x^2-3)=1 equation:

Simplifying
4(x2 + -3) = 1

Reorder the terms:
4(-3 + x2) = 1
(-3 * 4 + x2 * 4) = 1
(-12 + 4x2) = 1

Solving
-12 + 4x2 = 1

Solving for variable 'x'.

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

Add '12' to each side of the equation.
-12 + 12 + 4x2 = 1 + 12

Combine like terms: -12 + 12 = 0
0 + 4x2 = 1 + 12
4x2 = 1 + 12

Combine like terms: 1 + 12 = 13
4x2 = 13

Divide each side by '4'.
x2 = 3.25

Simplifying
x2 = 3.25

Take the square root of each side:
x = {-1.802775638, 1.802775638}