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Simplifying b2 + -17bz + 72z2 = 0 Reorder the terms: -17bz + b2 + 72z2 = 0 Solving -17bz + b2 + 72z2 = 0 Solving for variable 'b'. Factor a trinomial. (b + -9z)(b + -8z) = 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 + -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 = {9z, 8z}
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