x(2x-Cx-D-5C)+5-5D=Ax(x+6)

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Solution for x(2x-Cx-D-5C)+5-5D=Ax(x+6) equation: 


Simplifying
x(2x + -1Cx + -1D + -5C) + 5 + -5D = Ax(x + 6)

Reorder the terms:
x(-5C + -1D + 2x + -1xC) + 5 + -5D = Ax(x + 6)
(-5C * x + -1D * x + 2x * x + -1xC * x) + 5 + -5D = Ax(x + 6)
(-5xC + -1xD + 2x2 + -1x2C) + 5 + -5D = Ax(x + 6)

Reorder the terms:
5 + -5D + -5xC + -1xD + 2x2 + -1x2C = Ax(x + 6)

Reorder the terms:
5 + -5D + -5xC + -1xD + 2x2 + -1x2C = xA(6 + x)
5 + -5D + -5xC + -1xD + 2x2 + -1x2C = (6 * xA + x * xA)
5 + -5D + -5xC + -1xD + 2x2 + -1x2C = (6xA + x2A)

Solving
5 + -5D + -5xC + -1xD + 2x2 + -1x2C = 6xA + x2A

Solving for variable 'D'.

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

Add '-5' to each side of the equation.
5 + -5D + -5xC + -1xD + 2x2 + -5 + -1x2C = 6xA + -5 + x2A

Reorder the terms:
5 + -5 + -5D + -5xC + -1xD + 2x2 + -1x2C = 6xA + -5 + x2A

Combine like terms: 5 + -5 = 0
0 + -5D + -5xC + -1xD + 2x2 + -1x2C = 6xA + -5 + x2A
-5D + -5xC + -1xD + 2x2 + -1x2C = 6xA + -5 + x2A

Reorder the terms:
-5D + -5xC + -1xD + 2x2 + -1x2C = -5 + 6xA + x2A

Add '5xC' to each side of the equation.
-5D + -5xC + -1xD + 2x2 + 5xC + -1x2C = -5 + 6xA + 5xC + x2A

Reorder the terms:
-5D + -5xC + 5xC + -1xD + 2x2 + -1x2C = -5 + 6xA + 5xC + x2A

Combine like terms: -5xC + 5xC = 0
-5D + 0 + -1xD + 2x2 + -1x2C = -5 + 6xA + 5xC + x2A
-5D + -1xD + 2x2 + -1x2C = -5 + 6xA + 5xC + x2A

Add '-2x2' to each side of the equation.
-5D + -1xD + 2x2 + -2x2 + -1x2C = -5 + 6xA + 5xC + -2x2 + x2A

Combine like terms: 2x2 + -2x2 = 0
-5D + -1xD + 0 + -1x2C = -5 + 6xA + 5xC + -2x2 + x2A
-5D + -1xD + -1x2C = -5 + 6xA + 5xC + -2x2 + x2A

Add 'x2C' to each side of the equation.
-5D + -1xD + -1x2C + x2C = -5 + 6xA + 5xC + -2x2 + x2A + x2C

Combine like terms: -1x2C + x2C = 0
-5D + -1xD + 0 = -5 + 6xA + 5xC + -2x2 + x2A + x2C
-5D + -1xD = -5 + 6xA + 5xC + -2x2 + x2A + x2C

Reorder the terms:
5 + -5D + -6xA + -5xC + -1xD + 2x2 + -1x2A + -1x2C = -5 + 6xA + 5xC + -2x2 + x2A + x2C + 5 + -6xA + -5xC + 2x2 + -1x2A + -1x2C

Reorder the terms:
5 + -5D + -6xA + -5xC + -1xD + 2x2 + -1x2A + -1x2C = -5 + 5 + 6xA + -6xA + 5xC + -5xC + -2x2 + 2x2 + x2A + -1x2A + x2C + -1x2C

Combine like terms: -5 + 5 = 0
5 + -5D + -6xA + -5xC + -1xD + 2x2 + -1x2A + -1x2C = 0 + 6xA + -6xA + 5xC + -5xC + -2x2 + 2x2 + x2A + -1x2A + x2C + -1x2C
5 + -5D + -6xA + -5xC + -1xD + 2x2 + -1x2A + -1x2C = 6xA + -6xA + 5xC + -5xC + -2x2 + 2x2 + x2A + -1x2A + x2C + -1x2C

Combine like terms: 6xA + -6xA = 0
5 + -5D + -6xA + -5xC + -1xD + 2x2 + -1x2A + -1x2C = 0 + 5xC + -5xC + -2x2 + 2x2 + x2A + -1x2A + x2C + -1x2C
5 + -5D + -6xA + -5xC + -1xD + 2x2 + -1x2A + -1x2C = 5xC + -5xC + -2x2 + 2x2 + x2A + -1x2A + x2C + -1x2C

Combine like terms: 5xC + -5xC = 0
5 + -5D + -6xA + -5xC + -1xD + 2x2 + -1x2A + -1x2C = 0 + -2x2 + 2x2 + x2A + -1x2A + x2C + -1x2C
5 + -5D + -6xA + -5xC + -1xD + 2x2 + -1x2A + -1x2C = -2x2 + 2x2 + x2A + -1x2A + x2C + -1x2C

Combine like terms: -2x2 + 2x2 = 0
5 + -5D + -6xA + -5xC + -1xD + 2x2 + -1x2A + -1x2C = 0 + x2A + -1x2A + x2C + -1x2C
5 + -5D + -6xA + -5xC + -1xD + 2x2 + -1x2A + -1x2C = x2A + -1x2A + x2C + -1x2C

Combine like terms: x2A + -1x2A = 0
5 + -5D + -6xA + -5xC + -1xD + 2x2 + -1x2A + -1x2C = 0 + x2C + -1x2C
5 + -5D + -6xA + -5xC + -1xD + 2x2 + -1x2A + -1x2C = x2C + -1x2C

Combine like terms: x2C + -1x2C = 0
5 + -5D + -6xA + -5xC + -1xD + 2x2 + -1x2A + -1x2C = 0

The solution to this equation could not be determined.

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