-48z^2+300=0

Solution for -48z^2+300=0 equation:

Simplifying
-48z2 + 300 = 0

Reorder the terms:
300 + -48z2 = 0

Solving
300 + -48z2 = 0

Solving for variable 'z'.

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

Add '-300' to each side of the equation.
300 + -300 + -48z2 = 0 + -300

Combine like terms: 300 + -300 = 0
0 + -48z2 = 0 + -300
-48z2 = 0 + -300

Combine like terms: 0 + -300 = -300
-48z2 = -300

Divide each side by '-48'.
z2 = 6.25

Simplifying
z2 = 6.25

Take the square root of each side:
z = {-2.5, 2.5}