75a^2-192=0

Solution for 75a^2-192=0 equation:

Simplifying
75a2 + -192 = 0

Reorder the terms:
-192 + 75a2 = 0

Solving
-192 + 75a2 = 0

Solving for variable 'a'.

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

Add '192' to each side of the equation.
-192 + 192 + 75a2 = 0 + 192

Combine like terms: -192 + 192 = 0
0 + 75a2 = 0 + 192
75a2 = 0 + 192

Combine like terms: 0 + 192 = 192
75a2 = 192

Divide each side by '75'.
a2 = 2.56

Simplifying
a2 = 2.56

Take the square root of each side:
a = {-1.6, 1.6}