5x^2-1=6

Solution for 5x^2-1=6 equation:

Simplifying
5x2 + -1 = 6

Reorder the terms:
-1 + 5x2 = 6

Solving
-1 + 5x2 = 6

Solving for variable 'x'.

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

Add '1' to each side of the equation.
-1 + 1 + 5x2 = 6 + 1

Combine like terms: -1 + 1 = 0
0 + 5x2 = 6 + 1
5x2 = 6 + 1

Combine like terms: 6 + 1 = 7
5x2 = 7

Divide each side by '5'.
x2 = 1.4

Simplifying
x2 = 1.4

Take the square root of each side:
x = {-1.183215957, 1.183215957}