10x^2-5=0

Solution for 10x^2-5=0 equation:

Simplifying
10x2 + -5 = 0

Reorder the terms:
-5 + 10x2 = 0

Solving
-5 + 10x2 = 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 + 10x2 = 0 + 5

Combine like terms: -5 + 5 = 0
0 + 10x2 = 0 + 5
10x2 = 0 + 5

Combine like terms: 0 + 5 = 5
10x2 = 5

Divide each side by '10'.
x2 = 0.5

Simplifying
x2 = 0.5

Take the square root of each side:
x = {-0.707106781, 0.707106781}