54a^2-288a^2+384=0

Solution for 54a^2-288a^2+384=0 equation:

Simplifying
54a2 + -288a2 + 384 = 0

Reorder the terms:
384 + 54a2 + -288a2 = 0

Combine like terms: 54a2 + -288a2 = -234a2
384 + -234a2 = 0

Solving
384 + -234a2 = 0

Solving for variable 'a'.

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

Add '-384' to each side of the equation.
384 + -384 + -234a2 = 0 + -384

Combine like terms: 384 + -384 = 0
0 + -234a2 = 0 + -384
-234a2 = 0 + -384

Combine like terms: 0 + -384 = -384
-234a2 = -384

Divide each side by '-234'.
a2 = 1.641025641

Simplifying
a2 = 1.641025641

Take the square root of each side:
a = {-1.28102523, 1.28102523}