9x^2-448=2x^2

Solution for 9x^2-448=2x^2 equation:

Simplifying
9x2 + -448 = 2x2

Reorder the terms:
-448 + 9x2 = 2x2

Solving
-448 + 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.
-448 + 9x2 + -2x2 = 2x2 + -2x2

Combine like terms: 9x2 + -2x2 = 7x2
-448 + 7x2 = 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
-448 + 7x2 = 0

Add '448' to each side of the equation.
-448 + 448 + 7x2 = 0 + 448

Combine like terms: -448 + 448 = 0
0 + 7x2 = 0 + 448
7x2 = 0 + 448

Combine like terms: 0 + 448 = 448
7x2 = 448

Divide each side by '7'.
x2 = 64

Simplifying
x2 = 64

Take the square root of each side:
x = {-8, 8}