3x^2-22+16=0

Solution for 3x^2-22+16=0 equation:

Simplifying
3x2 + -22 + 16 = 0

Reorder the terms:
-22 + 16 + 3x2 = 0

Combine like terms: -22 + 16 = -6
-6 + 3x2 = 0

Solving
-6 + 3x2 = 0

Solving for variable 'x'.

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

Add '6' to each side of the equation.
-6 + 6 + 3x2 = 0 + 6

Combine like terms: -6 + 6 = 0
0 + 3x2 = 0 + 6
3x2 = 0 + 6

Combine like terms: 0 + 6 = 6
3x2 = 6

Divide each side by '3'.
x2 = 2

Simplifying
x2 = 2

Take the square root of each side:
x = {-1.414213562, 1.414213562}