53=5z^2

Solution for 53=5z^2 equation:

Simplifying
53 = 5z2

Solving
53 = 5z2

Solving for variable 'z'.

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

Add '-5z2' to each side of the equation.
53 + -5z2 = 5z2 + -5z2

Combine like terms: 5z2 + -5z2 = 0
53 + -5z2 = 0

Add '-53' to each side of the equation.
53 + -53 + -5z2 = 0 + -53

Combine like terms: 53 + -53 = 0
0 + -5z2 = 0 + -53
-5z2 = 0 + -53

Combine like terms: 0 + -53 = -53
-5z2 = -53

Divide each side by '-5'.
z2 = 10.6

Simplifying
z2 = 10.6

Take the square root of each side:
z = {-3.255764119, 3.255764119}