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Simplifying 2w2 + 7wp + -15p2 = 0 Reorder the terms: 7pw + -15p2 + 2w2 = 0 Solving 7pw + -15p2 + 2w2 = 0 Solving for variable 'p'. Factor a trinomial. (-5p + -1w)(3p + -2w) = 0Subproblem 1
Set the factor '(-5p + -1w)' equal to zero and attempt to solve: Simplifying -5p + -1w = 0 Solving -5p + -1w = 0 Move all terms containing p to the left, all other terms to the right. Add 'w' to each side of the equation. -5p + -1w + w = 0 + w Combine like terms: -1w + w = 0 -5p + 0 = 0 + w -5p = 0 + w Remove the zero: -5p = w Divide each side by '-5'. p = -0.2w Simplifying p = -0.2wSubproblem 2
Set the factor '(3p + -2w)' equal to zero and attempt to solve: Simplifying 3p + -2w = 0 Solving 3p + -2w = 0 Move all terms containing p to the left, all other terms to the right. Add '2w' to each side of the equation. 3p + -2w + 2w = 0 + 2w Combine like terms: -2w + 2w = 0 3p + 0 = 0 + 2w 3p = 0 + 2w Remove the zero: 3p = 2w Divide each side by '3'. p = 0.6666666667w Simplifying p = 0.6666666667wSolution
p = {-0.2w, 0.6666666667w}
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