3x^2-14=x^2

Solution for 3x^2-14=x^2 equation:

Simplifying
3x2 + -14 = x2

Reorder the terms:
-14 + 3x2 = x2

Solving
-14 + 3x2 = x2

Solving for variable 'x'.

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

Add '-1x2' to each side of the equation.
-14 + 3x2 + -1x2 = x2 + -1x2

Combine like terms: 3x2 + -1x2 = 2x2
-14 + 2x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-14 + 2x2 = 0

Add '14' to each side of the equation.
-14 + 14 + 2x2 = 0 + 14

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

Combine like terms: 0 + 14 = 14
2x2 = 14

Divide each side by '2'.
x2 = 7

Simplifying
x2 = 7

Take the square root of each side:
x = {-2.645751311, 2.645751311}