x^2-6=-2(0.1x^2)

Solution for x^2-6=-2(0.1x^2) equation:

Simplifying
x2 + -6 = -2(0.1x2)

Reorder the terms:
-6 + x2 = -2(0.1x2)

Remove parenthesis around (0.1x2)
-6 + x2 = -2 * 0.1x2

Multiply -2 * 0.1
-6 + x2 = -0.2x2

Solving
-6 + x2 = -0.2x2

Solving for variable 'x'.

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

Add '0.2x2' to each side of the equation.
-6 + x2 + 0.2x2 = -0.2x2 + 0.2x2

Combine like terms: x2 + 0.2x2 = 1.2x2
-6 + 1.2x2 = -0.2x2 + 0.2x2

Combine like terms: -0.2x2 + 0.2x2 = 0.0
-6 + 1.2x2 = 0.0

Add '6' to each side of the equation.
-6 + 6 + 1.2x2 = 0.0 + 6

Combine like terms: -6 + 6 = 0
0 + 1.2x2 = 0.0 + 6
1.2x2 = 0.0 + 6

Combine like terms: 0.0 + 6 = 6
1.2x2 = 6

Divide each side by '1.2'.
x2 = 5

Simplifying
x2 = 5

Take the square root of each side:
x = {-2.236067978, 2.236067978}