(b+2)[(b+3)x-7]=b^2+4b+4-2b

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Solution for (b+2)[(b+3)x-7]=b^2+4b+4-2b equation:


Simplifying
(b + 2)[(b + 3) * x + -7] = b2 + 4b + 4 + -2b

Reorder the terms:
(2 + b)[(b + 3) * x + -7] = b2 + 4b + 4 + -2b

Reorder the terms:
(2 + b)[(3 + b) * x + -7] = b2 + 4b + 4 + -2b

Reorder the terms for easier multiplication:
(2 + b)[x(3 + b) + -7] = b2 + 4b + 4 + -2b
(2 + b)[(3 * x + b * x) + -7] = b2 + 4b + 4 + -2b

Reorder the terms:
(2 + b)[(bx + 3x) + -7] = b2 + 4b + 4 + -2b
(2 + b)[(bx + 3x) + -7] = b2 + 4b + 4 + -2b

Reorder the terms:
(2 + b)[-7 + bx + 3x] = b2 + 4b + 4 + -2b

Multiply (2 + b) * [-7 + bx + 3x]
(2[-7 + bx + 3x] + b[-7 + bx + 3x]) = b2 + 4b + 4 + -2b
([-7 * 2 + bx * 2 + 3x * 2] + b[-7 + bx + 3x]) = b2 + 4b + 4 + -2b
([-14 + 2bx + 6x] + b[-7 + bx + 3x]) = b2 + 4b + 4 + -2b
(-14 + 2bx + 6x + [-7 * b + bx * b + 3x * b]) = b2 + 4b + 4 + -2b

Reorder the terms:
(-14 + 2bx + 6x + [-7b + 3bx + b2x]) = b2 + 4b + 4 + -2b
(-14 + 2bx + 6x + [-7b + 3bx + b2x]) = b2 + 4b + 4 + -2b

Reorder the terms:
(-14 + -7b + 2bx + 3bx + b2x + 6x) = b2 + 4b + 4 + -2b

Combine like terms: 2bx + 3bx = 5bx
(-14 + -7b + 5bx + b2x + 6x) = b2 + 4b + 4 + -2b

Reorder the terms:
-14 + -7b + 5bx + b2x + 6x = 4 + 4b + -2b + b2

Combine like terms: 4b + -2b = 2b
-14 + -7b + 5bx + b2x + 6x = 4 + 2b + b2

Solving
-14 + -7b + 5bx + b2x + 6x = 4 + 2b + b2

Solving for variable 'b'.

Reorder the terms:
-14 + -4 + -7b + -2b + 5bx + -1b2 + b2x + 6x = 4 + 2b + b2 + -4 + -2b + -1b2

Combine like terms: -14 + -4 = -18
-18 + -7b + -2b + 5bx + -1b2 + b2x + 6x = 4 + 2b + b2 + -4 + -2b + -1b2

Combine like terms: -7b + -2b = -9b
-18 + -9b + 5bx + -1b2 + b2x + 6x = 4 + 2b + b2 + -4 + -2b + -1b2

Reorder the terms:
-18 + -9b + 5bx + -1b2 + b2x + 6x = 4 + -4 + 2b + -2b + b2 + -1b2

Combine like terms: 4 + -4 = 0
-18 + -9b + 5bx + -1b2 + b2x + 6x = 0 + 2b + -2b + b2 + -1b2
-18 + -9b + 5bx + -1b2 + b2x + 6x = 2b + -2b + b2 + -1b2

Combine like terms: 2b + -2b = 0
-18 + -9b + 5bx + -1b2 + b2x + 6x = 0 + b2 + -1b2
-18 + -9b + 5bx + -1b2 + b2x + 6x = b2 + -1b2

Combine like terms: b2 + -1b2 = 0
-18 + -9b + 5bx + -1b2 + b2x + 6x = 0

The solution to this equation could not be determined.

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