a^2x+(a-6)=(a+6)x

Solution for a^2x+(a-6)=(a+6)x equation:

Simplifying
a2x + (a + -6) = (a + 6) * x

Reorder the terms:
a2x + (-6 + a) = (a + 6) * x

Remove parenthesis around (-6 + a)
a2x + -6 + a = (a + 6) * x

Reorder the terms:
-6 + a + a2x = (a + 6) * x

Reorder the terms:
-6 + a + a2x = (6 + a) * x

Reorder the terms for easier multiplication:
-6 + a + a2x = x(6 + a)
-6 + a + a2x = (6 * x + a * x)

Reorder the terms:
-6 + a + a2x = (ax + 6x)
-6 + a + a2x = (ax + 6x)

Solving
-6 + a + a2x = ax + 6x

Solving for variable 'a'.

Reorder the terms:
-6 + a + -1ax + a2x + -6x = ax + 6x + -1ax + -6x

Reorder the terms:
-6 + a + -1ax + a2x + -6x = ax + -1ax + 6x + -6x

Combine like terms: ax + -1ax = 0
-6 + a + -1ax + a2x + -6x = 0 + 6x + -6x
-6 + a + -1ax + a2x + -6x = 6x + -6x

Combine like terms: 6x + -6x = 0
-6 + a + -1ax + a2x + -6x = 0

The solution to this equation could not be determined.