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Simplifying 9s2 + p2 + -6sp = 0 Reorder the terms: -6ps + p2 + 9s2 = 0 Solving -6ps + p2 + 9s2 = 0 Solving for variable 'p'. Factor a trinomial. (p + -3s)(p + -3s) = 0Subproblem 1
Set the factor '(p + -3s)' equal to zero and attempt to solve: Simplifying p + -3s = 0 Solving p + -3s = 0 Move all terms containing p to the left, all other terms to the right. Add '3s' to each side of the equation. p + -3s + 3s = 0 + 3s Combine like terms: -3s + 3s = 0 p + 0 = 0 + 3s p = 0 + 3s Remove the zero: p = 3s Simplifying p = 3sSubproblem 2
Set the factor '(p + -3s)' equal to zero and attempt to solve: Simplifying p + -3s = 0 Solving p + -3s = 0 Move all terms containing p to the left, all other terms to the right. Add '3s' to each side of the equation. p + -3s + 3s = 0 + 3s Combine like terms: -3s + 3s = 0 p + 0 = 0 + 3s p = 0 + 3s Remove the zero: p = 3s Simplifying p = 3sSolution
p = {3s, 3s}
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