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Simplifying b2 + -3bz + -54z2 = 0 Reorder the terms: -3bz + b2 + -54z2 = 0 Solving -3bz + b2 + -54z2 = 0 Solving for variable 'b'. Factor a trinomial. (b + -9z)(b + 6z) = 0Subproblem 1
Set the factor '(b + -9z)' equal to zero and attempt to solve: Simplifying b + -9z = 0 Solving b + -9z = 0 Move all terms containing b to the left, all other terms to the right. Add '9z' to each side of the equation. b + -9z + 9z = 0 + 9z Combine like terms: -9z + 9z = 0 b + 0 = 0 + 9z b = 0 + 9z Remove the zero: b = 9z Simplifying b = 9zSubproblem 2
Set the factor '(b + 6z)' equal to zero and attempt to solve: Simplifying b + 6z = 0 Solving b + 6z = 0 Move all terms containing b to the left, all other terms to the right. Add '-6z' to each side of the equation. b + 6z + -6z = 0 + -6z Combine like terms: 6z + -6z = 0 b + 0 = 0 + -6z b = 0 + -6z Remove the zero: b = -6z Simplifying b = -6zSolution
b = {9z, -6z}
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