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Simplifying 6s2 + 17sp + -14p2 = 0 Reorder the terms: 17ps + -14p2 + 6s2 = 0 Solving 17ps + -14p2 + 6s2 = 0 Solving for variable 'p'. Factor a trinomial. (-7p + -2s)(2p + -3s) = 0Subproblem 1
Set the factor '(-7p + -2s)' equal to zero and attempt to solve: Simplifying -7p + -2s = 0 Solving -7p + -2s = 0 Move all terms containing p to the left, all other terms to the right. Add '2s' to each side of the equation. -7p + -2s + 2s = 0 + 2s Combine like terms: -2s + 2s = 0 -7p + 0 = 0 + 2s -7p = 0 + 2s Remove the zero: -7p = 2s Divide each side by '-7'. p = -0.2857142857s Simplifying p = -0.2857142857sSubproblem 2
Set the factor '(2p + -3s)' equal to zero and attempt to solve: Simplifying 2p + -3s = 0 Solving 2p + -3s = 0 Move all terms containing p to the left, all other terms to the right. Add '3s' to each side of the equation. 2p + -3s + 3s = 0 + 3s Combine like terms: -3s + 3s = 0 2p + 0 = 0 + 3s 2p = 0 + 3s Remove the zero: 2p = 3s Divide each side by '2'. p = 1.5s Simplifying p = 1.5sSolution
p = {-0.2857142857s, 1.5s}
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