(a^2+27)=(2a^2-54)

Solution for (a^2+27)=(2a^2-54) equation:

Simplifying
(a2 + 27) = (2a2 + -54)

Reorder the terms:
(27 + a2) = (2a2 + -54)

Remove parenthesis around (27 + a2)
27 + a2 = (2a2 + -54)

Reorder the terms:
27 + a2 = (-54 + 2a2)

Remove parenthesis around (-54 + 2a2)
27 + a2 = -54 + 2a2

Solving
27 + a2 = -54 + 2a2

Solving for variable 'a'.

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

Add '-2a2' to each side of the equation.
27 + a2 + -2a2 = -54 + 2a2 + -2a2

Combine like terms: a2 + -2a2 = -1a2
27 + -1a2 = -54 + 2a2 + -2a2

Combine like terms: 2a2 + -2a2 = 0
27 + -1a2 = -54 + 0
27 + -1a2 = -54

Add '-27' to each side of the equation.
27 + -27 + -1a2 = -54 + -27

Combine like terms: 27 + -27 = 0
0 + -1a2 = -54 + -27
-1a2 = -54 + -27

Combine like terms: -54 + -27 = -81
-1a2 = -81

Divide each side by '-1'.
a2 = 81

Simplifying
a2 = 81

Take the square root of each side:
a = {-9, 9}