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Simplifying 25v2 + 40vp + 16p2 = 0 Reorder the terms: 40pv + 16p2 + 25v2 = 0 Solving 40pv + 16p2 + 25v2 = 0 Solving for variable 'p'. Factor a trinomial. (4p + 5v)(4p + 5v) = 0Subproblem 1
Set the factor '(4p + 5v)' equal to zero and attempt to solve: Simplifying 4p + 5v = 0 Solving 4p + 5v = 0 Move all terms containing p to the left, all other terms to the right. Add '-5v' to each side of the equation. 4p + 5v + -5v = 0 + -5v Combine like terms: 5v + -5v = 0 4p + 0 = 0 + -5v 4p = 0 + -5v Remove the zero: 4p = -5v Divide each side by '4'. p = -1.25v Simplifying p = -1.25vSubproblem 2
Set the factor '(4p + 5v)' equal to zero and attempt to solve: Simplifying 4p + 5v = 0 Solving 4p + 5v = 0 Move all terms containing p to the left, all other terms to the right. Add '-5v' to each side of the equation. 4p + 5v + -5v = 0 + -5v Combine like terms: 5v + -5v = 0 4p + 0 = 0 + -5v 4p = 0 + -5v Remove the zero: 4p = -5v Divide each side by '4'. p = -1.25v Simplifying p = -1.25vSolution
p = {-1.25v, -1.25v}
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