9x^2-14=2x^2

Solution for 9x^2-14=2x^2 equation:

Simplifying
9x2 + -14 = 2x2

Reorder the terms:
-14 + 9x2 = 2x2

Solving
-14 + 9x2 = 2x2

Solving for variable 'x'.

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

Add '-2x2' to each side of the equation.
-14 + 9x2 + -2x2 = 2x2 + -2x2

Combine like terms: 9x2 + -2x2 = 7x2
-14 + 7x2 = 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
-14 + 7x2 = 0

Add '14' to each side of the equation.
-14 + 14 + 7x2 = 0 + 14

Combine like terms: -14 + 14 = 0
0 + 7x2 = 0 + 14
7x2 = 0 + 14

Combine like terms: 0 + 14 = 14
7x2 = 14

Divide each side by '7'.
x2 = 2

Simplifying
x2 = 2

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