5x^2-1+3=6

Solution for 5x^2-1+3=6 equation:

Simplifying
5x2 + -1 + 3 = 6

Reorder the terms:
-1 + 3 + 5x2 = 6

Combine like terms: -1 + 3 = 2
2 + 5x2 = 6

Solving
2 + 5x2 = 6

Solving for variable 'x'.

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

Add '-2' to each side of the equation.
2 + -2 + 5x2 = 6 + -2

Combine like terms: 2 + -2 = 0
0 + 5x2 = 6 + -2
5x2 = 6 + -2

Combine like terms: 6 + -2 = 4
5x2 = 4

Divide each side by '5'.
x2 = 0.8

Simplifying
x2 = 0.8

Take the square root of each side:
x = {-0.894427191, 0.894427191}