7z^2+12=64

Solution for 7z^2+12=64 equation:

Simplifying
7z2 + 12 = 64

Reorder the terms:
12 + 7z2 = 64

Solving
12 + 7z2 = 64

Solving for variable 'z'.

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

Add '-12' to each side of the equation.
12 + -12 + 7z2 = 64 + -12

Combine like terms: 12 + -12 = 0
0 + 7z2 = 64 + -12
7z2 = 64 + -12

Combine like terms: 64 + -12 = 52
7z2 = 52

Divide each side by '7'.
z2 = 7.428571429

Simplifying
z2 = 7.428571429

Take the square root of each side:
z = {-2.725540576, 2.725540576}