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Simplifying 2w2 + 11pw + 5p2 = 0 Reorder the terms: 11pw + 5p2 + 2w2 = 0 Solving 11pw + 5p2 + 2w2 = 0 Solving for variable 'p'. Factor a trinomial. (5p + w)(p + 2w) = 0Subproblem 1
Set the factor '(5p + w)' equal to zero and attempt to solve: Simplifying 5p + w = 0 Solving 5p + w = 0 Move all terms containing p to the left, all other terms to the right. Add '-1w' to each side of the equation. 5p + w + -1w = 0 + -1w Combine like terms: w + -1w = 0 5p + 0 = 0 + -1w 5p = 0 + -1w Remove the zero: 5p = -1w Divide each side by '5'. p = -0.2w Simplifying p = -0.2wSubproblem 2
Set the factor '(p + 2w)' equal to zero and attempt to solve: Simplifying p + 2w = 0 Solving p + 2w = 0 Move all terms containing p to the left, all other terms to the right. Add '-2w' to each side of the equation. p + 2w + -2w = 0 + -2w Combine like terms: 2w + -2w = 0 p + 0 = 0 + -2w p = 0 + -2w Remove the zero: p = -2w Simplifying p = -2wSolution
p = {-0.2w, -2w}
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