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Simplifying b2 + 7bz + 10z2 = 0 Reorder the terms: 7bz + b2 + 10z2 = 0 Solving 7bz + b2 + 10z2 = 0 Solving for variable 'b'. Factor a trinomial. (b + 2z)(b + 5z) = 0Subproblem 1
Set the factor '(b + 2z)' equal to zero and attempt to solve: Simplifying b + 2z = 0 Solving b + 2z = 0 Move all terms containing b to the left, all other terms to the right. Add '-2z' to each side of the equation. b + 2z + -2z = 0 + -2z Combine like terms: 2z + -2z = 0 b + 0 = 0 + -2z b = 0 + -2z Remove the zero: b = -2z Simplifying b = -2zSubproblem 2
Set the factor '(b + 5z)' equal to zero and attempt to solve: Simplifying b + 5z = 0 Solving b + 5z = 0 Move all terms containing b to the left, all other terms to the right. Add '-5z' to each side of the equation. b + 5z + -5z = 0 + -5z Combine like terms: 5z + -5z = 0 b + 0 = 0 + -5z b = 0 + -5z Remove the zero: b = -5z Simplifying b = -5zSolution
b = {-2z, -5z}
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