4x^2-14+2=0

Solution for 4x^2-14+2=0 equation:

Simplifying
4x2 + -14 + 2 = 0

Reorder the terms:
-14 + 2 + 4x2 = 0

Combine like terms: -14 + 2 = -12
-12 + 4x2 = 0

Solving
-12 + 4x2 = 0

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 = 0 + 12

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

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

Divide each side by '4'.
x2 = 3

Simplifying
x2 = 3

Take the square root of each side:
x = {-1.732050808, 1.732050808}