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Simplifying 5b2 + -8bz + -13z2 = 0 Reorder the terms: -8bz + 5b2 + -13z2 = 0 Solving -8bz + 5b2 + -13z2 = 0 Solving for variable 'b'. Factor a trinomial. (5b + -13z)(b + z) = 0Subproblem 1
Set the factor '(5b + -13z)' equal to zero and attempt to solve: Simplifying 5b + -13z = 0 Solving 5b + -13z = 0 Move all terms containing b to the left, all other terms to the right. Add '13z' to each side of the equation. 5b + -13z + 13z = 0 + 13z Combine like terms: -13z + 13z = 0 5b + 0 = 0 + 13z 5b = 0 + 13z Remove the zero: 5b = 13z Divide each side by '5'. b = 2.6z Simplifying b = 2.6zSubproblem 2
Set the factor '(b + z)' equal to zero and attempt to solve: Simplifying b + z = 0 Solving b + z = 0 Move all terms containing b to the left, all other terms to the right. Add '-1z' to each side of the equation. b + z + -1z = 0 + -1z Combine like terms: z + -1z = 0 b + 0 = 0 + -1z b = 0 + -1z Remove the zero: b = -1z Simplifying b = -1zSolution
b = {2.6z, -1z}
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