2z*2z+2=48

Solution for 2z*2z+2=48 equation:

Simplifying
2z * 2z + 2 = 48

Reorder the terms for easier multiplication:
2 * 2z * z + 2 = 48

Multiply 2 * 2
4z * z + 2 = 48

Multiply z * z
4z2 + 2 = 48

Reorder the terms:
2 + 4z2 = 48

Solving
2 + 4z2 = 48

Solving for variable 'z'.

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

Add '-2' to each side of the equation.
2 + -2 + 4z2 = 48 + -2

Combine like terms: 2 + -2 = 0
0 + 4z2 = 48 + -2
4z2 = 48 + -2

Combine like terms: 48 + -2 = 46
4z2 = 46

Divide each side by '4'.
z2 = 11.5

Simplifying
z2 = 11.5

Take the square root of each side:
z = {-3.391164992, 3.391164992}