2x^2-6=-1

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

Simplifying
2x2 + -6 = -1

Reorder the terms:
-6 + 2x2 = -1

Solving
-6 + 2x2 = -1

Solving for variable 'x'.

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

Add '6' to each side of the equation.
-6 + 6 + 2x2 = -1 + 6

Combine like terms: -6 + 6 = 0
0 + 2x2 = -1 + 6
2x2 = -1 + 6

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

Divide each side by '2'.
x2 = 2.5

Simplifying
x2 = 2.5

Take the square root of each side:
x = {-1.58113883, 1.58113883}