a^2x^2+a^2x-6a^2-x^2-x+6=0

Solution for a^2x^2+a^2x-6a^2-x^2-x+6=0 equation:

Simplifying
a2x2 + a2x + -6a2 + -1x2 + -1x + 6 = 0

Reorder the terms:
6 + -6a2 + a2x + a2x2 + -1x + -1x2 = 0

Solving
6 + -6a2 + a2x + a2x2 + -1x + -1x2 = 0

Solving for variable 'a'.

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

Add '-6' to each side of the equation.
6 + -6a2 + a2x + a2x2 + -1x + -6 + -1x2 = 0 + -6

Reorder the terms:
6 + -6 + -6a2 + a2x + a2x2 + -1x + -1x2 = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -6a2 + a2x + a2x2 + -1x + -1x2 = 0 + -6
-6a2 + a2x + a2x2 + -1x + -1x2 = 0 + -6

Combine like terms: 0 + -6 = -6
-6a2 + a2x + a2x2 + -1x + -1x2 = -6

Add 'x' to each side of the equation.
-6a2 + a2x + a2x2 + -1x + x + -1x2 = -6 + x

Combine like terms: -1x + x = 0
-6a2 + a2x + a2x2 + 0 + -1x2 = -6 + x
-6a2 + a2x + a2x2 + -1x2 = -6 + x

Add 'x2' to each side of the equation.
-6a2 + a2x + a2x2 + -1x2 + x2 = -6 + x + x2

Combine like terms: -1x2 + x2 = 0
-6a2 + a2x + a2x2 + 0 = -6 + x + x2
-6a2 + a2x + a2x2 = -6 + x + x2

Reorder the terms:
6 + -6a2 + a2x + a2x2 + -1x + -1x2 = -6 + x + x2 + 6 + -1x + -1x2

Reorder the terms:
6 + -6a2 + a2x + a2x2 + -1x + -1x2 = -6 + 6 + x + -1x + x2 + -1x2

Combine like terms: -6 + 6 = 0
6 + -6a2 + a2x + a2x2 + -1x + -1x2 = 0 + x + -1x + x2 + -1x2
6 + -6a2 + a2x + a2x2 + -1x + -1x2 = x + -1x + x2 + -1x2

Combine like terms: x + -1x = 0
6 + -6a2 + a2x + a2x2 + -1x + -1x2 = 0 + x2 + -1x2
6 + -6a2 + a2x + a2x2 + -1x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
6 + -6a2 + a2x + a2x2 + -1x + -1x2 = 0

The solution to this equation could not be determined.