a(ax-a)+6(x+6)=0

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Solution for a(ax-a)+6(x+6)=0 equation:


Simplifying
a(ax + -1a) + 6(x + 6) = 0

Reorder the terms:
a(-1a + ax) + 6(x + 6) = 0
(-1a * a + ax * a) + 6(x + 6) = 0
(-1a2 + a2x) + 6(x + 6) = 0

Reorder the terms:
-1a2 + a2x + 6(6 + x) = 0
-1a2 + a2x + (6 * 6 + x * 6) = 0
-1a2 + a2x + (36 + 6x) = 0

Reorder the terms:
36 + -1a2 + a2x + 6x = 0

Solving
36 + -1a2 + a2x + 6x = 0

Solving for variable 'a'.

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

Add '-36' to each side of the equation.
36 + -1a2 + a2x + -36 + 6x = 0 + -36

Reorder the terms:
36 + -36 + -1a2 + a2x + 6x = 0 + -36

Combine like terms: 36 + -36 = 0
0 + -1a2 + a2x + 6x = 0 + -36
-1a2 + a2x + 6x = 0 + -36

Combine like terms: 0 + -36 = -36
-1a2 + a2x + 6x = -36

Add '-6x' to each side of the equation.
-1a2 + a2x + 6x + -6x = -36 + -6x

Combine like terms: 6x + -6x = 0
-1a2 + a2x + 0 = -36 + -6x
-1a2 + a2x = -36 + -6x

Reorder the terms:
36 + -1a2 + a2x + 6x = -36 + -6x + 36 + 6x

Reorder the terms:
36 + -1a2 + a2x + 6x = -36 + 36 + -6x + 6x

Combine like terms: -36 + 36 = 0
36 + -1a2 + a2x + 6x = 0 + -6x + 6x
36 + -1a2 + a2x + 6x = -6x + 6x

Combine like terms: -6x + 6x = 0
36 + -1a2 + a2x + 6x = 0

The solution to this equation could not be determined.

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