4x^2-14=6

Solution for 4x^2-14=6 equation:

Simplifying
4x2 + -14 = 6

Reorder the terms:
-14 + 4x2 = 6

Solving
-14 + 4x2 = 6

Solving for variable 'x'.

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

Add '14' to each side of the equation.
-14 + 14 + 4x2 = 6 + 14

Combine like terms: -14 + 14 = 0
0 + 4x2 = 6 + 14
4x2 = 6 + 14

Combine like terms: 6 + 14 = 20
4x2 = 20

Divide each side by '4'.
x2 = 5

Simplifying
x2 = 5

Take the square root of each side:
x = {-2.236067978, 2.236067978}