(4b-4ts)(b-ts)=0

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Solution for (4b-4ts)(b-ts)=0 equation:


Simplifying
(4b + -4ts)(b + -1ts) = 0

Multiply (4b + -4st) * (b + -1st)
(4b * (b + -1st) + -4st * (b + -1st)) = 0
((b * 4b + -1st * 4b) + -4st * (b + -1st)) = 0

Reorder the terms:
((-4bst + 4b2) + -4st * (b + -1st)) = 0
((-4bst + 4b2) + -4st * (b + -1st)) = 0
(-4bst + 4b2 + (b * -4st + -1st * -4st)) = 0
(-4bst + 4b2 + (-4bst + 4s2t2)) = 0

Reorder the terms:
(-4bst + -4bst + 4b2 + 4s2t2) = 0

Combine like terms: -4bst + -4bst = -8bst
(-8bst + 4b2 + 4s2t2) = 0

Solving
-8bst + 4b2 + 4s2t2 = 0

Solving for variable 'b'.

Factor out the Greatest Common Factor (GCF), '4'.
4(-2bst + b2 + s2t2) = 0

Factor a trinomial.
4((b + -1st)(b + -1st)) = 0

Ignore the factor 4.

Subproblem 1

Set the factor '(b + -1st)' equal to zero and attempt to solve: Simplifying b + -1st = 0 Solving b + -1st = 0 Move all terms containing b to the left, all other terms to the right. Add 'st' to each side of the equation. b + -1st + st = 0 + st Combine like terms: -1st + st = 0 b + 0 = 0 + st b = 0 + st Remove the zero: b = st Simplifying b = st

Subproblem 2

Set the factor '(b + -1st)' equal to zero and attempt to solve: Simplifying b + -1st = 0 Solving b + -1st = 0 Move all terms containing b to the left, all other terms to the right. Add 'st' to each side of the equation. b + -1st + st = 0 + st Combine like terms: -1st + st = 0 b + 0 = 0 + st b = 0 + st Remove the zero: b = st Simplifying b = st

Solution

b = {st, st}

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