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Simplifying w2 + 2wp + -35p2 = 0 Reorder the terms: 2pw + -35p2 + w2 = 0 Solving 2pw + -35p2 + w2 = 0 Solving for variable 'p'. Factor a trinomial. (-7p + -1w)(5p + -1w) = 0Subproblem 1
Set the factor '(-7p + -1w)' equal to zero and attempt to solve: Simplifying -7p + -1w = 0 Solving -7p + -1w = 0 Move all terms containing p to the left, all other terms to the right. Add 'w' to each side of the equation. -7p + -1w + w = 0 + w Combine like terms: -1w + w = 0 -7p + 0 = 0 + w -7p = 0 + w Remove the zero: -7p = w Divide each side by '-7'. p = -0.1428571429w Simplifying p = -0.1428571429wSubproblem 2
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 = 0.2wSolution
p = {-0.1428571429w, 0.2w}
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