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Simplifying 9b2 + 12bp + 4p2 = 0 Reorder the terms: 12bp + 9b2 + 4p2 = 0 Solving 12bp + 9b2 + 4p2 = 0 Solving for variable 'b'. Factor a trinomial. (3b + 2p)(3b + 2p) = 0Subproblem 1
Set the factor '(3b + 2p)' equal to zero and attempt to solve: Simplifying 3b + 2p = 0 Solving 3b + 2p = 0 Move all terms containing b to the left, all other terms to the right. Add '-2p' to each side of the equation. 3b + 2p + -2p = 0 + -2p Combine like terms: 2p + -2p = 0 3b + 0 = 0 + -2p 3b = 0 + -2p Remove the zero: 3b = -2p Divide each side by '3'. b = -0.6666666667p Simplifying b = -0.6666666667pSubproblem 2
Set the factor '(3b + 2p)' equal to zero and attempt to solve: Simplifying 3b + 2p = 0 Solving 3b + 2p = 0 Move all terms containing b to the left, all other terms to the right. Add '-2p' to each side of the equation. 3b + 2p + -2p = 0 + -2p Combine like terms: 2p + -2p = 0 3b + 0 = 0 + -2p 3b = 0 + -2p Remove the zero: 3b = -2p Divide each side by '3'. b = -0.6666666667p Simplifying b = -0.6666666667pSolution
b = {-0.6666666667p, -0.6666666667p}
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