(B-1)(b+5)=b^2+4b-2

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Solution for (B-1)(b+5)=b^2+4b-2 equation:


Simplifying
(B + -1)(b + 5) = b2 + 4b + -2

Reorder the terms:
(-1 + B)(b + 5) = b2 + 4b + -2

Reorder the terms:
(-1 + B)(5 + b) = b2 + 4b + -2

Multiply (-1 + B) * (5 + b)
(-1(5 + b) + B(5 + b)) = b2 + 4b + -2
((5 * -1 + b * -1) + B(5 + b)) = b2 + 4b + -2
((-5 + -1b) + B(5 + b)) = b2 + 4b + -2
(-5 + -1b + (5 * B + b * B)) = b2 + 4b + -2
(-5 + -1b + (5B + bB)) = b2 + 4b + -2

Reorder the terms:
(-5 + 5B + -1b + bB) = b2 + 4b + -2
(-5 + 5B + -1b + bB) = b2 + 4b + -2

Reorder the terms:
-5 + 5B + -1b + bB = -2 + 4b + b2

Solving
-5 + 5B + -1b + bB = -2 + 4b + b2

Solving for variable 'B'.

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

Add '5' to each side of the equation.
-5 + 5B + -1b + 5 + bB = -2 + 4b + 5 + b2

Reorder the terms:
-5 + 5 + 5B + -1b + bB = -2 + 4b + 5 + b2

Combine like terms: -5 + 5 = 0
0 + 5B + -1b + bB = -2 + 4b + 5 + b2
5B + -1b + bB = -2 + 4b + 5 + b2

Reorder the terms:
5B + -1b + bB = -2 + 5 + 4b + b2

Combine like terms: -2 + 5 = 3
5B + -1b + bB = 3 + 4b + b2

Add 'b' to each side of the equation.
5B + -1b + b + bB = 3 + 4b + b + b2

Combine like terms: -1b + b = 0
5B + 0 + bB = 3 + 4b + b + b2
5B + bB = 3 + 4b + b + b2

Combine like terms: 4b + b = 5b
5B + bB = 3 + 5b + b2

Reorder the terms:
-3 + 5B + -5b + bB + -1b2 = 3 + 5b + b2 + -3 + -5b + -1b2

Reorder the terms:
-3 + 5B + -5b + bB + -1b2 = 3 + -3 + 5b + -5b + b2 + -1b2

Combine like terms: 3 + -3 = 0
-3 + 5B + -5b + bB + -1b2 = 0 + 5b + -5b + b2 + -1b2
-3 + 5B + -5b + bB + -1b2 = 5b + -5b + b2 + -1b2

Combine like terms: 5b + -5b = 0
-3 + 5B + -5b + bB + -1b2 = 0 + b2 + -1b2
-3 + 5B + -5b + bB + -1b2 = b2 + -1b2

Combine like terms: b2 + -1b2 = 0
-3 + 5B + -5b + bB + -1b2 = 0

The solution to this equation could not be determined.

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