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Simplifying s2 + 7sp + -18p2 = 0 Reorder the terms: 7ps + -18p2 + s2 = 0 Solving 7ps + -18p2 + s2 = 0 Solving for variable 'p'. Factor a trinomial. (-9p + -1s)(2p + -1s) = 0Subproblem 1
Set the factor '(-9p + -1s)' equal to zero and attempt to solve: Simplifying -9p + -1s = 0 Solving -9p + -1s = 0 Move all terms containing p to the left, all other terms to the right. Add 's' to each side of the equation. -9p + -1s + s = 0 + s Combine like terms: -1s + s = 0 -9p + 0 = 0 + s -9p = 0 + s Remove the zero: -9p = s Divide each side by '-9'. p = -0.1111111111s Simplifying p = -0.1111111111sSubproblem 2
Set the factor '(2p + -1s)' equal to zero and attempt to solve: Simplifying 2p + -1s = 0 Solving 2p + -1s = 0 Move all terms containing p to the left, all other terms to the right. Add 's' to each side of the equation. 2p + -1s + s = 0 + s Combine like terms: -1s + s = 0 2p + 0 = 0 + s 2p = 0 + s Remove the zero: 2p = s Divide each side by '2'. p = 0.5s Simplifying p = 0.5sSolution
p = {-0.1111111111s, 0.5s}
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