3z^2-5+4(7.5)+8=180

Solution for 3z^2-5+4(7.5)+8=180 equation:

Simplifying
3z2 + -5 + 4(7.5) + 8 = 180

Multiply 4 * 7.5
3z2 + -5 + 30 + 8 = 180

Reorder the terms:
-5 + 30 + 8 + 3z2 = 180

Combine like terms: -5 + 30 = 25
25 + 8 + 3z2 = 180

Combine like terms: 25 + 8 = 33
33 + 3z2 = 180

Solving
33 + 3z2 = 180

Solving for variable 'z'.

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

Add '-33' to each side of the equation.
33 + -33 + 3z2 = 180 + -33

Combine like terms: 33 + -33 = 0
0 + 3z2 = 180 + -33
3z2 = 180 + -33

Combine like terms: 180 + -33 = 147
3z2 = 147

Divide each side by '3'.
z2 = 49

Simplifying
z2 = 49

Take the square root of each side:
z = {-7, 7}