(a+b-1)(b^2+1)-b^2-1=

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Solution for (a+b-1)(b^2+1)-b^2-1= equation:


Simplifying
(a + b + -1)(b2 + 1) + -1b2 + -1 = 0

Reorder the terms:
(-1 + a + b)(b2 + 1) + -1b2 + -1 = 0

Reorder the terms:
(-1 + a + b)(1 + b2) + -1b2 + -1 = 0

Multiply (-1 + a + b) * (1 + b2)
(-1(1 + b2) + a(1 + b2) + b(1 + b2)) + -1b2 + -1 = 0
((1 * -1 + b2 * -1) + a(1 + b2) + b(1 + b2)) + -1b2 + -1 = 0
((-1 + -1b2) + a(1 + b2) + b(1 + b2)) + -1b2 + -1 = 0
(-1 + -1b2 + (1 * a + b2 * a) + b(1 + b2)) + -1b2 + -1 = 0
(-1 + -1b2 + (1a + ab2) + b(1 + b2)) + -1b2 + -1 = 0
(-1 + -1b2 + 1a + ab2 + (1 * b + b2 * b)) + -1b2 + -1 = 0
(-1 + -1b2 + 1a + ab2 + (1b + b3)) + -1b2 + -1 = 0

Reorder the terms:
(-1 + 1a + ab2 + 1b + -1b2 + b3) + -1b2 + -1 = 0
(-1 + 1a + ab2 + 1b + -1b2 + b3) + -1b2 + -1 = 0

Reorder the terms:
-1 + -1 + 1a + ab2 + 1b + -1b2 + -1b2 + b3 = 0

Combine like terms: -1 + -1 = -2
-2 + 1a + ab2 + 1b + -1b2 + -1b2 + b3 = 0

Combine like terms: -1b2 + -1b2 = -2b2
-2 + 1a + ab2 + 1b + -2b2 + b3 = 0

Solving
-2 + 1a + ab2 + 1b + -2b2 + b3 = 0

Solving for variable 'a'.

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

Add '2' to each side of the equation.
-2 + 1a + ab2 + 1b + -2b2 + 2 + b3 = 0 + 2

Reorder the terms:
-2 + 2 + 1a + ab2 + 1b + -2b2 + b3 = 0 + 2

Combine like terms: -2 + 2 = 0
0 + 1a + ab2 + 1b + -2b2 + b3 = 0 + 2
1a + ab2 + 1b + -2b2 + b3 = 0 + 2

Combine like terms: 0 + 2 = 2
1a + ab2 + 1b + -2b2 + b3 = 2

Add '-1b' to each side of the equation.
1a + ab2 + 1b + -2b2 + -1b + b3 = 2 + -1b

Reorder the terms:
1a + ab2 + 1b + -1b + -2b2 + b3 = 2 + -1b

Combine like terms: 1b + -1b = 0
1a + ab2 + 0 + -2b2 + b3 = 2 + -1b
1a + ab2 + -2b2 + b3 = 2 + -1b

Add '2b2' to each side of the equation.
1a + ab2 + -2b2 + 2b2 + b3 = 2 + -1b + 2b2

Combine like terms: -2b2 + 2b2 = 0
1a + ab2 + 0 + b3 = 2 + -1b + 2b2
1a + ab2 + b3 = 2 + -1b + 2b2

Add '-1b3' to each side of the equation.
1a + ab2 + b3 + -1b3 = 2 + -1b + 2b2 + -1b3

Combine like terms: b3 + -1b3 = 0
1a + ab2 + 0 = 2 + -1b + 2b2 + -1b3
1a + ab2 = 2 + -1b + 2b2 + -1b3

Reorder the terms:
-2 + 1a + ab2 + b + -2b2 + b3 = 2 + -1b + 2b2 + -1b3 + -2 + b + -2b2 + b3

Reorder the terms:
-2 + 1a + ab2 + b + -2b2 + b3 = 2 + -2 + -1b + b + 2b2 + -2b2 + -1b3 + b3

Combine like terms: 2 + -2 = 0
-2 + 1a + ab2 + b + -2b2 + b3 = 0 + -1b + b + 2b2 + -2b2 + -1b3 + b3
-2 + 1a + ab2 + b + -2b2 + b3 = -1b + b + 2b2 + -2b2 + -1b3 + b3

Combine like terms: -1b + b = 0
-2 + 1a + ab2 + b + -2b2 + b3 = 0 + 2b2 + -2b2 + -1b3 + b3
-2 + 1a + ab2 + b + -2b2 + b3 = 2b2 + -2b2 + -1b3 + b3

Combine like terms: 2b2 + -2b2 = 0
-2 + 1a + ab2 + b + -2b2 + b3 = 0 + -1b3 + b3
-2 + 1a + ab2 + b + -2b2 + b3 = -1b3 + b3

Combine like terms: -1b3 + b3 = 0
-2 + 1a + ab2 + b + -2b2 + b3 = 0

The solution to this equation could not be determined.

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