2z^2+3=53

Solution for 2z^2+3=53 equation:

Simplifying
2z2 + 3 = 53

Reorder the terms:
3 + 2z2 = 53

Solving
3 + 2z2 = 53

Solving for variable 'z'.

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

Add '-3' to each side of the equation.
3 + -3 + 2z2 = 53 + -3

Combine like terms: 3 + -3 = 0
0 + 2z2 = 53 + -3
2z2 = 53 + -3

Combine like terms: 53 + -3 = 50
2z2 = 50

Divide each side by '2'.
z2 = 25

Simplifying
z2 = 25

Take the square root of each side:
z = {-5, 5}