[2A-5B+C][3A-3B-C]=52

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Solution for [2A-5B+C][3A-3B-C]=52 equation: 


Simplifying
[2A + -5B + C][3A + -3B + -1C] = 52

Multiply [2A + -5B + C] * [3A + -3B + -1C]
[2A * [3A + -3B + -1C] + -5B * [3A + -3B + -1C] + C[3A + -3B + -1C]] = 52
[[3A * 2A + -3B * 2A + -1C * 2A] + -5B * [3A + -3B + -1C] + C[3A + -3B + -1C]] = 52

Reorder the terms:
[[-6AB + -2AC + 6A2] + -5B * [3A + -3B + -1C] + C[3A + -3B + -1C]] = 52
[[-6AB + -2AC + 6A2] + -5B * [3A + -3B + -1C] + C[3A + -3B + -1C]] = 52
[-6AB + -2AC + 6A2 + [3A * -5B + -3B * -5B + -1C * -5B] + C[3A + -3B + -1C]] = 52

Reorder the terms:
[-6AB + -2AC + 6A2 + [-15AB + 5BC + 15B2] + C[3A + -3B + -1C]] = 52
[-6AB + -2AC + 6A2 + [-15AB + 5BC + 15B2] + C[3A + -3B + -1C]] = 52
[-6AB + -2AC + 6A2 + -15AB + 5BC + 15B2 + [3A * C + -3B * C + -1C * C]] = 52
[-6AB + -2AC + 6A2 + -15AB + 5BC + 15B2 + [3AC + -3BC + -1C2]] = 52

Reorder the terms:
[-6AB + -15AB + -2AC + 3AC + 6A2 + 5BC + -3BC + 15B2 + -1C2] = 52

Combine like terms: -6AB + -15AB = -21AB
[-21AB + -2AC + 3AC + 6A2 + 5BC + -3BC + 15B2 + -1C2] = 52

Combine like terms: -2AC + 3AC = 1AC
[-21AB + 1AC + 6A2 + 5BC + -3BC + 15B2 + -1C2] = 52

Combine like terms: 5BC + -3BC = 2BC
[-21AB + 1AC + 6A2 + 2BC + 15B2 + -1C2] = 52

Solving
-21AB + 1AC + 6A2 + 2BC + 15B2 + -1C2 = 52

Solving for variable 'A'.

Reorder the terms:
-52 + -21AB + 1AC + 6A2 + 2BC + 15B2 + -1C2 = 52 + -52

Combine like terms: 52 + -52 = 0
-52 + -21AB + 1AC + 6A2 + 2BC + 15B2 + -1C2 = 0

The solution to this equation could not be determined.

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