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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 = stSubproblem 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 = stSolution
b = {st, st}
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