3(x^2+1)=27

Solution for 3(x^2+1)=27 equation:

Simplifying
3(x2 + 1) = 27

Reorder the terms:
3(1 + x2) = 27
(1 * 3 + x2 * 3) = 27
(3 + 3x2) = 27

Solving
3 + 3x2 = 27

Solving for variable 'x'.

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

Add '-3' to each side of the equation.
3 + -3 + 3x2 = 27 + -3

Combine like terms: 3 + -3 = 0
0 + 3x2 = 27 + -3
3x2 = 27 + -3

Combine like terms: 27 + -3 = 24
3x2 = 24

Divide each side by '3'.
x2 = 8

Simplifying
x2 = 8

Take the square root of each side:
x = {-2.828427125, 2.828427125}