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Simplifying 18v2 + -33vb + 14b2 = 0 Reorder the terms: -33bv + 14b2 + 18v2 = 0 Solving -33bv + 14b2 + 18v2 = 0 Solving for variable 'b'. Factor a trinomial. (2b + -3v)(7b + -6v) = 0Subproblem 1
Set the factor '(2b + -3v)' equal to zero and attempt to solve: Simplifying 2b + -3v = 0 Solving 2b + -3v = 0 Move all terms containing b to the left, all other terms to the right. Add '3v' to each side of the equation. 2b + -3v + 3v = 0 + 3v Combine like terms: -3v + 3v = 0 2b + 0 = 0 + 3v 2b = 0 + 3v Remove the zero: 2b = 3v Divide each side by '2'. b = 1.5v Simplifying b = 1.5vSubproblem 2
Set the factor '(7b + -6v)' equal to zero and attempt to solve: Simplifying 7b + -6v = 0 Solving 7b + -6v = 0 Move all terms containing b to the left, all other terms to the right. Add '6v' to each side of the equation. 7b + -6v + 6v = 0 + 6v Combine like terms: -6v + 6v = 0 7b + 0 = 0 + 6v 7b = 0 + 6v Remove the zero: 7b = 6v Divide each side by '7'. b = 0.8571428571v Simplifying b = 0.8571428571vSolution
b = {1.5v, 0.8571428571v}
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