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Simplifying 9v2 + -24vp + 16p2 = 0 Reorder the terms: -24pv + 16p2 + 9v2 = 0 Solving -24pv + 16p2 + 9v2 = 0 Solving for variable 'p'. Factor a trinomial. (4p + -3v)(4p + -3v) = 0Subproblem 1
Set the factor '(4p + -3v)' equal to zero and attempt to solve: Simplifying 4p + -3v = 0 Solving 4p + -3v = 0 Move all terms containing p to the left, all other terms to the right. Add '3v' to each side of the equation. 4p + -3v + 3v = 0 + 3v Combine like terms: -3v + 3v = 0 4p + 0 = 0 + 3v 4p = 0 + 3v Remove the zero: 4p = 3v Divide each side by '4'. p = 0.75v Simplifying p = 0.75vSubproblem 2
Set the factor '(4p + -3v)' equal to zero and attempt to solve: Simplifying 4p + -3v = 0 Solving 4p + -3v = 0 Move all terms containing p to the left, all other terms to the right. Add '3v' to each side of the equation. 4p + -3v + 3v = 0 + 3v Combine like terms: -3v + 3v = 0 4p + 0 = 0 + 3v 4p = 0 + 3v Remove the zero: 4p = 3v Divide each side by '4'. p = 0.75v Simplifying p = 0.75vSolution
p = {0.75v, 0.75v}
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