(2)(b^2-7b+10)(b-2)=(b^2-7b+10)(b^2-6b+8)

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Solution for (2)(b^2-7b+10)(b-2)=(b^2-7b+10)(b^2-6b+8) equation: 


Simplifying
(2)(b2 + -7b + 10)(b + -2) = (b2 + -7b + 10)(b2 + -6b + 8)

Reorder the terms:
2(10 + -7b + b2)(b + -2) = (b2 + -7b + 10)(b2 + -6b + 8)

Reorder the terms:
2(10 + -7b + b2)(-2 + b) = (b2 + -7b + 10)(b2 + -6b + 8)

Multiply (10 + -7b + b2) * (-2 + b)
2(10(-2 + b) + -7b * (-2 + b) + b2(-2 + b)) = (b2 + -7b + 10)(b2 + -6b + 8)
2((-2 * 10 + b * 10) + -7b * (-2 + b) + b2(-2 + b)) = (b2 + -7b + 10)(b2 + -6b + 8)
2((-20 + 10b) + -7b * (-2 + b) + b2(-2 + b)) = (b2 + -7b + 10)(b2 + -6b + 8)
2(-20 + 10b + (-2 * -7b + b * -7b) + b2(-2 + b)) = (b2 + -7b + 10)(b2 + -6b + 8)
2(-20 + 10b + (14b + -7b2) + b2(-2 + b)) = (b2 + -7b + 10)(b2 + -6b + 8)
2(-20 + 10b + 14b + -7b2 + (-2 * b2 + b * b2)) = (b2 + -7b + 10)(b2 + -6b + 8)
2(-20 + 10b + 14b + -7b2 + (-2b2 + b3)) = (b2 + -7b + 10)(b2 + -6b + 8)

Combine like terms: 10b + 14b = 24b
2(-20 + 24b + -7b2 + -2b2 + b3) = (b2 + -7b + 10)(b2 + -6b + 8)

Combine like terms: -7b2 + -2b2 = -9b2
2(-20 + 24b + -9b2 + b3) = (b2 + -7b + 10)(b2 + -6b + 8)
(-20 * 2 + 24b * 2 + -9b2 * 2 + b3 * 2) = (b2 + -7b + 10)(b2 + -6b + 8)
(-40 + 48b + -18b2 + 2b3) = (b2 + -7b + 10)(b2 + -6b + 8)

Reorder the terms:
-40 + 48b + -18b2 + 2b3 = (10 + -7b + b2)(b2 + -6b + 8)

Reorder the terms:
-40 + 48b + -18b2 + 2b3 = (10 + -7b + b2)(8 + -6b + b2)

Multiply (10 + -7b + b2) * (8 + -6b + b2)
-40 + 48b + -18b2 + 2b3 = (10(8 + -6b + b2) + -7b * (8 + -6b + b2) + b2(8 + -6b + b2))
-40 + 48b + -18b2 + 2b3 = ((8 * 10 + -6b * 10 + b2 * 10) + -7b * (8 + -6b + b2) + b2(8 + -6b + b2))
-40 + 48b + -18b2 + 2b3 = ((80 + -60b + 10b2) + -7b * (8 + -6b + b2) + b2(8 + -6b + b2))
-40 + 48b + -18b2 + 2b3 = (80 + -60b + 10b2 + (8 * -7b + -6b * -7b + b2 * -7b) + b2(8 + -6b + b2))
-40 + 48b + -18b2 + 2b3 = (80 + -60b + 10b2 + (-56b + 42b2 + -7b3) + b2(8 + -6b + b2))
-40 + 48b + -18b2 + 2b3 = (80 + -60b + 10b2 + -56b + 42b2 + -7b3 + (8 * b2 + -6b * b2 + b2 * b2))
-40 + 48b + -18b2 + 2b3 = (80 + -60b + 10b2 + -56b + 42b2 + -7b3 + (8b2 + -6b3 + b4))

Reorder the terms:
-40 + 48b + -18b2 + 2b3 = (80 + -60b + -56b + 10b2 + 42b2 + 8b2 + -7b3 + -6b3 + b4)

Combine like terms: -60b + -56b = -116b
-40 + 48b + -18b2 + 2b3 = (80 + -116b + 10b2 + 42b2 + 8b2 + -7b3 + -6b3 + b4)

Combine like terms: 10b2 + 42b2 = 52b2
-40 + 48b + -18b2 + 2b3 = (80 + -116b + 52b2 + 8b2 + -7b3 + -6b3 + b4)

Combine like terms: 52b2 + 8b2 = 60b2
-40 + 48b + -18b2 + 2b3 = (80 + -116b + 60b2 + -7b3 + -6b3 + b4)

Combine like terms: -7b3 + -6b3 = -13b3
-40 + 48b + -18b2 + 2b3 = (80 + -116b + 60b2 + -13b3 + b4)

Solving
-40 + 48b + -18b2 + 2b3 = 80 + -116b + 60b2 + -13b3 + b4

Solving for variable 'b'.

Reorder the terms:
-40 + -80 + 48b + 116b + -18b2 + -60b2 + 2b3 + 13b3 + -1b4 = 80 + -116b + 60b2 + -13b3 + b4 + -80 + 116b + -60b2 + 13b3 + -1b4

Combine like terms: -40 + -80 = -120
-120 + 48b + 116b + -18b2 + -60b2 + 2b3 + 13b3 + -1b4 = 80 + -116b + 60b2 + -13b3 + b4 + -80 + 116b + -60b2 + 13b3 + -1b4

Combine like terms: 48b + 116b = 164b
-120 + 164b + -18b2 + -60b2 + 2b3 + 13b3 + -1b4 = 80 + -116b + 60b2 + -13b3 + b4 + -80 + 116b + -60b2 + 13b3 + -1b4

Combine like terms: -18b2 + -60b2 = -78b2
-120 + 164b + -78b2 + 2b3 + 13b3 + -1b4 = 80 + -116b + 60b2 + -13b3 + b4 + -80 + 116b + -60b2 + 13b3 + -1b4

Combine like terms: 2b3 + 13b3 = 15b3
-120 + 164b + -78b2 + 15b3 + -1b4 = 80 + -116b + 60b2 + -13b3 + b4 + -80 + 116b + -60b2 + 13b3 + -1b4

Reorder the terms:
-120 + 164b + -78b2 + 15b3 + -1b4 = 80 + -80 + -116b + 116b + 60b2 + -60b2 + -13b3 + 13b3 + b4 + -1b4

Combine like terms: 80 + -80 = 0
-120 + 164b + -78b2 + 15b3 + -1b4 = 0 + -116b + 116b + 60b2 + -60b2 + -13b3 + 13b3 + b4 + -1b4
-120 + 164b + -78b2 + 15b3 + -1b4 = -116b + 116b + 60b2 + -60b2 + -13b3 + 13b3 + b4 + -1b4

Combine like terms: -116b + 116b = 0
-120 + 164b + -78b2 + 15b3 + -1b4 = 0 + 60b2 + -60b2 + -13b3 + 13b3 + b4 + -1b4
-120 + 164b + -78b2 + 15b3 + -1b4 = 60b2 + -60b2 + -13b3 + 13b3 + b4 + -1b4

Combine like terms: 60b2 + -60b2 = 0
-120 + 164b + -78b2 + 15b3 + -1b4 = 0 + -13b3 + 13b3 + b4 + -1b4
-120 + 164b + -78b2 + 15b3 + -1b4 = -13b3 + 13b3 + b4 + -1b4

Combine like terms: -13b3 + 13b3 = 0
-120 + 164b + -78b2 + 15b3 + -1b4 = 0 + b4 + -1b4
-120 + 164b + -78b2 + 15b3 + -1b4 = b4 + -1b4

Combine like terms: b4 + -1b4 = 0
-120 + 164b + -78b2 + 15b3 + -1b4 = 0

The solution to this equation could not be determined.

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