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Simplifying 6b2 + 17bp + 12p2 = 0 Reorder the terms: 17bp + 6b2 + 12p2 = 0 Solving 17bp + 6b2 + 12p2 = 0 Solving for variable 'b'. Factor a trinomial. (3b + 4p)(2b + 3p) = 0Subproblem 1
Set the factor '(3b + 4p)' equal to zero and attempt to solve: Simplifying 3b + 4p = 0 Solving 3b + 4p = 0 Move all terms containing b to the left, all other terms to the right. Add '-4p' to each side of the equation. 3b + 4p + -4p = 0 + -4p Combine like terms: 4p + -4p = 0 3b + 0 = 0 + -4p 3b = 0 + -4p Remove the zero: 3b = -4p Divide each side by '3'. b = -1.333333333p Simplifying b = -1.333333333pSubproblem 2
Set the factor '(2b + 3p)' equal to zero and attempt to solve: Simplifying 2b + 3p = 0 Solving 2b + 3p = 0 Move all terms containing b to the left, all other terms to the right. Add '-3p' to each side of the equation. 2b + 3p + -3p = 0 + -3p Combine like terms: 3p + -3p = 0 2b + 0 = 0 + -3p 2b = 0 + -3p Remove the zero: 2b = -3p Divide each side by '2'. b = -1.5p Simplifying b = -1.5pSolution
b = {-1.333333333p, -1.5p}
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