2(19)+13+3z^2-5=180

Solution for 2(19)+13+3z^2-5=180 equation:

Simplifying
2(19) + 13 + 3z2 + -5 = 180

Multiply 2 * 19
38 + 13 + 3z2 + -5 = 180

Reorder the terms:
38 + 13 + -5 + 3z2 = 180

Combine like terms: 38 + 13 = 51
51 + -5 + 3z2 = 180

Combine like terms: 51 + -5 = 46
46 + 3z2 = 180

Solving
46 + 3z2 = 180

Solving for variable 'z'.

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

Add '-46' to each side of the equation.
46 + -46 + 3z2 = 180 + -46

Combine like terms: 46 + -46 = 0
0 + 3z2 = 180 + -46
3z2 = 180 + -46

Combine like terms: 180 + -46 = 134
3z2 = 134

Divide each side by '3'.
z2 = 44.66666667

Simplifying
z2 = 44.66666667

Take the square root of each side:
z = {-6.683312552, 6.683312552}