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Simplifying 4v2 + -12vp + 9p2 = 0 Reorder the terms: -12pv + 9p2 + 4v2 = 0 Solving -12pv + 9p2 + 4v2 = 0 Solving for variable 'p'. Factor a trinomial. (3p + -2v)(3p + -2v) = 0Subproblem 1
Set the factor '(3p + -2v)' equal to zero and attempt to solve: Simplifying 3p + -2v = 0 Solving 3p + -2v = 0 Move all terms containing p to the left, all other terms to the right. Add '2v' to each side of the equation. 3p + -2v + 2v = 0 + 2v Combine like terms: -2v + 2v = 0 3p + 0 = 0 + 2v 3p = 0 + 2v Remove the zero: 3p = 2v Divide each side by '3'. p = 0.6666666667v Simplifying p = 0.6666666667vSubproblem 2
Set the factor '(3p + -2v)' equal to zero and attempt to solve: Simplifying 3p + -2v = 0 Solving 3p + -2v = 0 Move all terms containing p to the left, all other terms to the right. Add '2v' to each side of the equation. 3p + -2v + 2v = 0 + 2v Combine like terms: -2v + 2v = 0 3p + 0 = 0 + 2v 3p = 0 + 2v Remove the zero: 3p = 2v Divide each side by '3'. p = 0.6666666667v Simplifying p = 0.6666666667vSolution
p = {0.6666666667v, 0.6666666667v}
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