34=3(x^2+6)

Solution for 34=3(x^2+6) equation:

Simplifying
34 = 3(x2 + 6)

Reorder the terms:
34 = 3(6 + x2)
34 = (6 * 3 + x2 * 3)
34 = (18 + 3x2)

Solving
34 = 18 + 3x2

Solving for variable 'x'.

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

Add '-3x2' to each side of the equation.
34 + -3x2 = 18 + 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
34 + -3x2 = 18 + 0
34 + -3x2 = 18

Add '-34' to each side of the equation.
34 + -34 + -3x2 = 18 + -34

Combine like terms: 34 + -34 = 0
0 + -3x2 = 18 + -34
-3x2 = 18 + -34

Combine like terms: 18 + -34 = -16
-3x2 = -16

Divide each side by '-3'.
x2 = 5.333333333

Simplifying
x2 = 5.333333333

Take the square root of each side:
x = {-2.309401077, 2.309401077}