x^2-4=-10x^2

Solution for x^2-4=-10x^2 equation:

Simplifying
x2 + -4 = -10x2

Reorder the terms:
-4 + x2 = -10x2

Solving
-4 + x2 = -10x2

Solving for variable 'x'.

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

Add '10x2' to each side of the equation.
-4 + x2 + 10x2 = -10x2 + 10x2

Combine like terms: x2 + 10x2 = 11x2
-4 + 11x2 = -10x2 + 10x2

Combine like terms: -10x2 + 10x2 = 0
-4 + 11x2 = 0

Add '4' to each side of the equation.
-4 + 4 + 11x2 = 0 + 4

Combine like terms: -4 + 4 = 0
0 + 11x2 = 0 + 4
11x2 = 0 + 4

Combine like terms: 0 + 4 = 4
11x2 = 4

Divide each side by '11'.
x2 = 0.3636363636

Simplifying
x2 = 0.3636363636

Take the square root of each side:
x = {-0.603022689, 0.603022689}