2(x^2-7)+6=16

Solution for 2(x^2-7)+6=16 equation:

Simplifying
2(x2 + -7) + 6 = 16

Reorder the terms:
2(-7 + x2) + 6 = 16
(-7 * 2 + x2 * 2) + 6 = 16
(-14 + 2x2) + 6 = 16

Reorder the terms:
-14 + 6 + 2x2 = 16

Combine like terms: -14 + 6 = -8
-8 + 2x2 = 16

Solving
-8 + 2x2 = 16

Solving for variable 'x'.

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

Add '8' to each side of the equation.
-8 + 8 + 2x2 = 16 + 8

Combine like terms: -8 + 8 = 0
0 + 2x2 = 16 + 8
2x2 = 16 + 8

Combine like terms: 16 + 8 = 24
2x2 = 24

Divide each side by '2'.
x2 = 12

Simplifying
x2 = 12

Take the square root of each side:
x = {-3.464101615, 3.464101615}