3x^2-16+14=0

Solution for 3x^2-16+14=0 equation:

Simplifying
3x2 + -16 + 14 = 0

Reorder the terms:
-16 + 14 + 3x2 = 0

Combine like terms: -16 + 14 = -2
-2 + 3x2 = 0

Solving
-2 + 3x2 = 0

Solving for variable 'x'.

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

Add '2' to each side of the equation.
-2 + 2 + 3x2 = 0 + 2

Combine like terms: -2 + 2 = 0
0 + 3x2 = 0 + 2
3x2 = 0 + 2

Combine like terms: 0 + 2 = 2
3x2 = 2

Divide each side by '3'.
x2 = 0.6666666667

Simplifying
x2 = 0.6666666667

Take the square root of each side:
x = {-0.816496581, 0.816496581}