12x*x+56x-55=(Ax-B)(Cx-D)

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Solution for 12x*x+56x-55=(Ax-B)(Cx-D) equation: 


Simplifying
12x * x + 56x + -55 = (Ax + -1B)(Cx + -1D)

Multiply x * x
12x2 + 56x + -55 = (Ax + -1B)(Cx + -1D)

Reorder the terms:
-55 + 56x + 12x2 = (Ax + -1B)(Cx + -1D)

Reorder the terms:
-55 + 56x + 12x2 = (-1B + xA)(Cx + -1D)

Reorder the terms:
-55 + 56x + 12x2 = (-1B + xA)(-1D + xC)

Multiply (-1B + xA) * (-1D + xC)
-55 + 56x + 12x2 = (-1B * (-1D + xC) + xA(-1D + xC))
-55 + 56x + 12x2 = ((-1D * -1B + xC * -1B) + xA(-1D + xC))
-55 + 56x + 12x2 = ((1BD + -1xBC) + xA(-1D + xC))
-55 + 56x + 12x2 = (1BD + -1xBC + (-1D * xA + xC * xA))
-55 + 56x + 12x2 = (1BD + -1xBC + (-1xAD + x2AC))

Reorder the terms:
-55 + 56x + 12x2 = (1BD + -1xAD + -1xBC + x2AC)
-55 + 56x + 12x2 = (1BD + -1xAD + -1xBC + x2AC)

Solving
-55 + 56x + 12x2 = 1BD + -1xAD + -1xBC + x2AC

Solving for variable 'x'.

Reorder the terms:
-55 + -1BD + 56x + xAD + xBC + 12x2 + -1x2AC = 1BD + -1xAD + -1xBC + x2AC + -1BD + xAD + xBC + -1x2AC

Reorder the terms:
-55 + -1BD + 56x + xAD + xBC + 12x2 + -1x2AC = 1BD + -1BD + -1xAD + xAD + -1xBC + xBC + x2AC + -1x2AC

Combine like terms: 1BD + -1BD = 0
-55 + -1BD + 56x + xAD + xBC + 12x2 + -1x2AC = 0 + -1xAD + xAD + -1xBC + xBC + x2AC + -1x2AC
-55 + -1BD + 56x + xAD + xBC + 12x2 + -1x2AC = -1xAD + xAD + -1xBC + xBC + x2AC + -1x2AC

Combine like terms: -1xAD + xAD = 0
-55 + -1BD + 56x + xAD + xBC + 12x2 + -1x2AC = 0 + -1xBC + xBC + x2AC + -1x2AC
-55 + -1BD + 56x + xAD + xBC + 12x2 + -1x2AC = -1xBC + xBC + x2AC + -1x2AC

Combine like terms: -1xBC + xBC = 0
-55 + -1BD + 56x + xAD + xBC + 12x2 + -1x2AC = 0 + x2AC + -1x2AC
-55 + -1BD + 56x + xAD + xBC + 12x2 + -1x2AC = x2AC + -1x2AC

Combine like terms: x2AC + -1x2AC = 0
-55 + -1BD + 56x + xAD + xBC + 12x2 + -1x2AC = 0

The solution to this equation could not be determined.

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