5-2*3+6(3x^2+1)=59

Solution for 5-2*3+6(3x^2+1)=59 equation:

Simplifying
5 + -2 * 3 + 6(3x2 + 1) = 59

Multiply -2 * 3
5 + -6 + 6(3x2 + 1) = 59

Reorder the terms:
5 + -6 + 6(1 + 3x2) = 59
5 + -6 + (1 * 6 + 3x2 * 6) = 59
5 + -6 + (6 + 18x2) = 59

Combine like terms: 5 + -6 = -1
-1 + 6 + 18x2 = 59

Combine like terms: -1 + 6 = 5
5 + 18x2 = 59

Solving
5 + 18x2 = 59

Solving for variable 'x'.

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

Add '-5' to each side of the equation.
5 + -5 + 18x2 = 59 + -5

Combine like terms: 5 + -5 = 0
0 + 18x2 = 59 + -5
18x2 = 59 + -5

Combine like terms: 59 + -5 = 54
18x2 = 54

Divide each side by '18'.
x2 = 3

Simplifying
x2 = 3

Take the square root of each side:
x = {-1.732050808, 1.732050808}