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Simplifying b2 + 6bp + -27p2 = 0 Reorder the terms: 6bp + b2 + -27p2 = 0 Solving 6bp + b2 + -27p2 = 0 Solving for variable 'b'. Factor a trinomial. (b + -3p)(b + 9p) = 0Subproblem 1
Set the factor '(b + -3p)' equal to zero and attempt to solve: Simplifying b + -3p = 0 Solving b + -3p = 0 Move all terms containing b to the left, all other terms to the right. Add '3p' to each side of the equation. b + -3p + 3p = 0 + 3p Combine like terms: -3p + 3p = 0 b + 0 = 0 + 3p b = 0 + 3p Remove the zero: b = 3p Simplifying b = 3pSubproblem 2
Set the factor '(b + 9p)' equal to zero and attempt to solve: Simplifying b + 9p = 0 Solving b + 9p = 0 Move all terms containing b to the left, all other terms to the right. Add '-9p' to each side of the equation. b + 9p + -9p = 0 + -9p Combine like terms: 9p + -9p = 0 b + 0 = 0 + -9p b = 0 + -9p Remove the zero: b = -9p Simplifying b = -9pSolution
b = {3p, -9p}
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