5x^2-6=-2

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

Simplifying
5x2 + -6 = -2

Reorder the terms:
-6 + 5x2 = -2

Solving
-6 + 5x2 = -2

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 + 5x2 = -2 + 6

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

Combine like terms: -2 + 6 = 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}