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

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


Simplifying
(b2 + -4b)(b2 + -5b + 2) = 0

Reorder the terms:
(-4b + b2)(b2 + -5b + 2) = 0

Reorder the terms:
(-4b + b2)(2 + -5b + b2) = 0

Multiply (-4b + b2) * (2 + -5b + b2)
(-4b * (2 + -5b + b2) + b2(2 + -5b + b2)) = 0
((2 * -4b + -5b * -4b + b2 * -4b) + b2(2 + -5b + b2)) = 0
((-8b + 20b2 + -4b3) + b2(2 + -5b + b2)) = 0
(-8b + 20b2 + -4b3 + (2 * b2 + -5b * b2 + b2 * b2)) = 0
(-8b + 20b2 + -4b3 + (2b2 + -5b3 + b4)) = 0

Reorder the terms:
(-8b + 20b2 + 2b2 + -4b3 + -5b3 + b4) = 0

Combine like terms: 20b2 + 2b2 = 22b2
(-8b + 22b2 + -4b3 + -5b3 + b4) = 0

Combine like terms: -4b3 + -5b3 = -9b3
(-8b + 22b2 + -9b3 + b4) = 0

Solving
-8b + 22b2 + -9b3 + b4 = 0

Solving for variable 'b'.

Factor out the Greatest Common Factor (GCF), 'b'.
b(-8 + 22b + -9b2 + b3) = 0

Subproblem 1

Set the factor 'b' equal to zero and attempt to solve: Simplifying b = 0 Solving b = 0 Move all terms containing b to the left, all other terms to the right. Simplifying b = 0

Subproblem 2

Set the factor '(-8 + 22b + -9b2 + b3)' equal to zero and attempt to solve: Simplifying -8 + 22b + -9b2 + b3 = 0 Solving -8 + 22b + -9b2 + b3 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Solution

b = {0}

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