10x^2-224=2x^2

Solution for 10x^2-224=2x^2 equation:

Simplifying
10x2 + -224 = 2x2

Reorder the terms:
-224 + 10x2 = 2x2

Solving
-224 + 10x2 = 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.
-224 + 10x2 + -2x2 = 2x2 + -2x2

Combine like terms: 10x2 + -2x2 = 8x2
-224 + 8x2 = 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
-224 + 8x2 = 0

Add '224' to each side of the equation.
-224 + 224 + 8x2 = 0 + 224

Combine like terms: -224 + 224 = 0
0 + 8x2 = 0 + 224
8x2 = 0 + 224

Combine like terms: 0 + 224 = 224
8x2 = 224

Divide each side by '8'.
x2 = 28

Simplifying
x2 = 28

Take the square root of each side:
x = {-5.291502622, 5.291502622}