x^2+5x^2-5=0

Solution for x^2+5x^2-5=0 equation:

Simplifying
x2 + 5x2 + -5 = 0

Reorder the terms:
-5 + x2 + 5x2 = 0

Combine like terms: x2 + 5x2 = 6x2
-5 + 6x2 = 0

Solving
-5 + 6x2 = 0

Solving for variable 'x'.

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

Add '5' to each side of the equation.
-5 + 5 + 6x2 = 0 + 5

Combine like terms: -5 + 5 = 0
0 + 6x2 = 0 + 5
6x2 = 0 + 5

Combine like terms: 0 + 5 = 5
6x2 = 5

Divide each side by '6'.
x2 = 0.8333333333

Simplifying
x2 = 0.8333333333

Take the square root of each side:
x = {-0.912870929, 0.912870929}