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Simplifying 25w2 + 60wp + 36p2 = 0 Reorder the terms: 60pw + 36p2 + 25w2 = 0 Solving 60pw + 36p2 + 25w2 = 0 Solving for variable 'p'. Factor a trinomial. (6p + 5w)(6p + 5w) = 0Subproblem 1
Set the factor '(6p + 5w)' equal to zero and attempt to solve: Simplifying 6p + 5w = 0 Solving 6p + 5w = 0 Move all terms containing p to the left, all other terms to the right. Add '-5w' to each side of the equation. 6p + 5w + -5w = 0 + -5w Combine like terms: 5w + -5w = 0 6p + 0 = 0 + -5w 6p = 0 + -5w Remove the zero: 6p = -5w Divide each side by '6'. p = -0.8333333333w Simplifying p = -0.8333333333wSubproblem 2
Set the factor '(6p + 5w)' equal to zero and attempt to solve: Simplifying 6p + 5w = 0 Solving 6p + 5w = 0 Move all terms containing p to the left, all other terms to the right. Add '-5w' to each side of the equation. 6p + 5w + -5w = 0 + -5w Combine like terms: 5w + -5w = 0 6p + 0 = 0 + -5w 6p = 0 + -5w Remove the zero: 6p = -5w Divide each side by '6'. p = -0.8333333333w Simplifying p = -0.8333333333wSolution
p = {-0.8333333333w, -0.8333333333w}
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