B^4-4b=b^2-4b

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Solution for B^4-4b=b^2-4b equation:


Simplifying
B4 + -4b = b2 + -4b

Reorder the terms:
B4 + -4b = -4b + b2

Add '4b' to each side of the equation.
B4 + -4b + 4b = -4b + 4b + b2

Combine like terms: -4b + 4b = 0
B4 + 0 = -4b + 4b + b2
B4 = -4b + 4b + b2

Combine like terms: -4b + 4b = 0
B4 = 0 + b2
B4 = b2

Solving
B4 = b2

Solving for variable 'B'.

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

Simplifying
B4 = b2

Combine like terms: b2 + -1b2 = 0
B4 + -1b2 = 0

Factor a difference between two squares.
(B2 + b)(B2 + -1b) = 0

Subproblem 1

Set the factor '(B2 + b)' equal to zero and attempt to solve: Simplifying B2 + b = 0 Solving B2 + b = 0 Move all terms containing B to the left, all other terms to the right. Add '-1b' to each side of the equation. B2 + b + -1b = 0 + -1b Combine like terms: b + -1b = 0 B2 + 0 = 0 + -1b B2 = 0 + -1b Remove the zero: B2 = -1b Simplifying B2 = -1b The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Subproblem 2

Set the factor '(B2 + -1b)' equal to zero and attempt to solve: Simplifying B2 + -1b = 0 Solving B2 + -1b = 0 Move all terms containing B to the left, all other terms to the right. Add 'b' to each side of the equation. B2 + -1b + b = 0 + b Combine like terms: -1b + b = 0 B2 + 0 = 0 + b B2 = 0 + b Remove the zero: B2 = b Simplifying B2 = b The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.

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