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Simplifying b2 + 12bz + 32z2 = 0 Reorder the terms: 12bz + b2 + 32z2 = 0 Solving 12bz + b2 + 32z2 = 0 Solving for variable 'b'. Factor a trinomial. (b + 4z)(b + 8z) = 0Subproblem 1
Set the factor '(b + 4z)' equal to zero and attempt to solve: Simplifying b + 4z = 0 Solving b + 4z = 0 Move all terms containing b to the left, all other terms to the right. Add '-4z' to each side of the equation. b + 4z + -4z = 0 + -4z Combine like terms: 4z + -4z = 0 b + 0 = 0 + -4z b = 0 + -4z Remove the zero: b = -4z Simplifying b = -4zSubproblem 2
Set the factor '(b + 8z)' equal to zero and attempt to solve: Simplifying b + 8z = 0 Solving b + 8z = 0 Move all terms containing b to the left, all other terms to the right. Add '-8z' to each side of the equation. b + 8z + -8z = 0 + -8z Combine like terms: 8z + -8z = 0 b + 0 = 0 + -8z b = 0 + -8z Remove the zero: b = -8z Simplifying b = -8zSolution
b = {-4z, -8z}
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