3x^2-x^2-392=0

Solution for 3x^2-x^2-392=0 equation:

Simplifying
3x2 + -1x2 + -392 = 0

Reorder the terms:
-392 + 3x2 + -1x2 = 0

Combine like terms: 3x2 + -1x2 = 2x2
-392 + 2x2 = 0

Solving
-392 + 2x2 = 0

Solving for variable 'x'.

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

Add '392' to each side of the equation.
-392 + 392 + 2x2 = 0 + 392

Combine like terms: -392 + 392 = 0
0 + 2x2 = 0 + 392
2x2 = 0 + 392

Combine like terms: 0 + 392 = 392
2x2 = 392

Divide each side by '2'.
x2 = 196

Simplifying
x2 = 196

Take the square root of each side:
x = {-14, 14}