2(x^2-7)=6

Solution for 2(x^2-7)=6 equation:

Simplifying
2(x2 + -7) = 6

Reorder the terms:
2(-7 + x2) = 6
(-7 * 2 + x2 * 2) = 6
(-14 + 2x2) = 6

Solving
-14 + 2x2 = 6

Solving for variable 'x'.

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

Add '14' to each side of the equation.
-14 + 14 + 2x2 = 6 + 14

Combine like terms: -14 + 14 = 0
0 + 2x2 = 6 + 14
2x2 = 6 + 14

Combine like terms: 6 + 14 = 20
2x2 = 20

Divide each side by '2'.
x2 = 10

Simplifying
x2 = 10

Take the square root of each side:
x = {-3.16227766, 3.16227766}