11x^2=A(x^2+1)+(Bx+C)(x+1)

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Solution for 11x^2=A(x^2+1)+(Bx+C)(x+1) equation: 


Simplifying
11x2 = A(x2 + 1) + (Bx + C)(x + 1)

Reorder the terms:
11x2 = A(1 + x2) + (Bx + C)(x + 1)
11x2 = (1 * A + x2 * A) + (Bx + C)(x + 1)
11x2 = (1A + x2A) + (Bx + C)(x + 1)

Reorder the terms:
11x2 = 1A + x2A + (C + xB)(x + 1)

Reorder the terms:
11x2 = 1A + x2A + (C + xB)(1 + x)

Multiply (C + xB) * (1 + x)
11x2 = 1A + x2A + (C(1 + x) + xB(1 + x))
11x2 = 1A + x2A + ((1 * C + x * C) + xB(1 + x))
11x2 = 1A + x2A + ((1C + xC) + xB(1 + x))
11x2 = 1A + x2A + (1C + xC + (1 * xB + x * xB))
11x2 = 1A + x2A + (1C + xC + (1xB + x2B))

Reorder the terms:
11x2 = 1A + x2A + (1C + 1xB + xC + x2B)
11x2 = 1A + x2A + (1C + 1xB + xC + x2B)

Reorder the terms:
11x2 = 1A + 1C + 1xB + xC + x2A + x2B

Solving
11x2 = 1A + 1C + 1xB + xC + x2A + x2B

Solving for variable 'x'.

Reorder the terms:
-1A + -1C + -1xB + -1xC + 11x2 + -1x2A + -1x2B = 1A + 1C + 1xB + xC + x2A + x2B + -1A + -1C + -1xB + -1xC + -1x2A + -1x2B

Reorder the terms:
-1A + -1C + -1xB + -1xC + 11x2 + -1x2A + -1x2B = 1A + -1A + 1C + -1C + 1xB + -1xB + xC + -1xC + x2A + -1x2A + x2B + -1x2B

Combine like terms: 1A + -1A = 0
-1A + -1C + -1xB + -1xC + 11x2 + -1x2A + -1x2B = 0 + 1C + -1C + 1xB + -1xB + xC + -1xC + x2A + -1x2A + x2B + -1x2B
-1A + -1C + -1xB + -1xC + 11x2 + -1x2A + -1x2B = 1C + -1C + 1xB + -1xB + xC + -1xC + x2A + -1x2A + x2B + -1x2B

Combine like terms: 1C + -1C = 0
-1A + -1C + -1xB + -1xC + 11x2 + -1x2A + -1x2B = 0 + 1xB + -1xB + xC + -1xC + x2A + -1x2A + x2B + -1x2B
-1A + -1C + -1xB + -1xC + 11x2 + -1x2A + -1x2B = 1xB + -1xB + xC + -1xC + x2A + -1x2A + x2B + -1x2B

Combine like terms: 1xB + -1xB = 0
-1A + -1C + -1xB + -1xC + 11x2 + -1x2A + -1x2B = 0 + xC + -1xC + x2A + -1x2A + x2B + -1x2B
-1A + -1C + -1xB + -1xC + 11x2 + -1x2A + -1x2B = xC + -1xC + x2A + -1x2A + x2B + -1x2B

Combine like terms: xC + -1xC = 0
-1A + -1C + -1xB + -1xC + 11x2 + -1x2A + -1x2B = 0 + x2A + -1x2A + x2B + -1x2B
-1A + -1C + -1xB + -1xC + 11x2 + -1x2A + -1x2B = x2A + -1x2A + x2B + -1x2B

Combine like terms: x2A + -1x2A = 0
-1A + -1C + -1xB + -1xC + 11x2 + -1x2A + -1x2B = 0 + x2B + -1x2B
-1A + -1C + -1xB + -1xC + 11x2 + -1x2A + -1x2B = x2B + -1x2B

Combine like terms: x2B + -1x2B = 0
-1A + -1C + -1xB + -1xC + 11x2 + -1x2A + -1x2B = 0

The solution to this equation could not be determined.

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