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Simplifying 9b2 + 30bp + 25p2 = 0 Reorder the terms: 30bp + 9b2 + 25p2 = 0 Solving 30bp + 9b2 + 25p2 = 0 Solving for variable 'b'. Factor a trinomial. (3b + 5p)(3b + 5p) = 0Subproblem 1
Set the factor '(3b + 5p)' equal to zero and attempt to solve: Simplifying 3b + 5p = 0 Solving 3b + 5p = 0 Move all terms containing b to the left, all other terms to the right. Add '-5p' to each side of the equation. 3b + 5p + -5p = 0 + -5p Combine like terms: 5p + -5p = 0 3b + 0 = 0 + -5p 3b = 0 + -5p Remove the zero: 3b = -5p Divide each side by '3'. b = -1.666666667p Simplifying b = -1.666666667pSubproblem 2
Set the factor '(3b + 5p)' equal to zero and attempt to solve: Simplifying 3b + 5p = 0 Solving 3b + 5p = 0 Move all terms containing b to the left, all other terms to the right. Add '-5p' to each side of the equation. 3b + 5p + -5p = 0 + -5p Combine like terms: 5p + -5p = 0 3b + 0 = 0 + -5p 3b = 0 + -5p Remove the zero: 3b = -5p Divide each side by '3'. b = -1.666666667p Simplifying b = -1.666666667pSolution
b = {-1.666666667p, -1.666666667p}
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