6(x^2+3)=53

Solution for 6(x^2+3)=53 equation:

Simplifying
6(x2 + 3) = 53

Reorder the terms:
6(3 + x2) = 53
(3 * 6 + x2 * 6) = 53
(18 + 6x2) = 53

Solving
18 + 6x2 = 53

Solving for variable 'x'.

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

Add '-18' to each side of the equation.
18 + -18 + 6x2 = 53 + -18

Combine like terms: 18 + -18 = 0
0 + 6x2 = 53 + -18
6x2 = 53 + -18

Combine like terms: 53 + -18 = 35
6x2 = 35

Divide each side by '6'.
x2 = 5.833333333

Simplifying
x2 = 5.833333333

Take the square root of each side:
x = {-2.415229458, 2.415229458}