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Simplifying 25w2 + 40wp + 16p2 = 0 Reorder the terms: 40pw + 16p2 + 25w2 = 0 Solving 40pw + 16p2 + 25w2 = 0 Solving for variable 'p'. Factor a trinomial. (4p + 5w)(4p + 5w) = 0Subproblem 1
Set the factor '(4p + 5w)' equal to zero and attempt to solve: Simplifying 4p + 5w = 0 Solving 4p + 5w = 0 Move all terms containing p to the left, all other terms to the right. Add '-5w' to each side of the equation. 4p + 5w + -5w = 0 + -5w Combine like terms: 5w + -5w = 0 4p + 0 = 0 + -5w 4p = 0 + -5w Remove the zero: 4p = -5w Divide each side by '4'. p = -1.25w Simplifying p = -1.25wSubproblem 2
Set the factor '(4p + 5w)' equal to zero and attempt to solve: Simplifying 4p + 5w = 0 Solving 4p + 5w = 0 Move all terms containing p to the left, all other terms to the right. Add '-5w' to each side of the equation. 4p + 5w + -5w = 0 + -5w Combine like terms: 5w + -5w = 0 4p + 0 = 0 + -5w 4p = 0 + -5w Remove the zero: 4p = -5w Divide each side by '4'. p = -1.25w Simplifying p = -1.25wSolution
p = {-1.25w, -1.25w}
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