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Simplifying 81s2 + -180sp + 100p2 = 0 Reorder the terms: -180ps + 100p2 + 81s2 = 0 Solving -180ps + 100p2 + 81s2 = 0 Solving for variable 'p'. Factor a trinomial. (10p + -9s)(10p + -9s) = 0Subproblem 1
Set the factor '(10p + -9s)' equal to zero and attempt to solve: Simplifying 10p + -9s = 0 Solving 10p + -9s = 0 Move all terms containing p to the left, all other terms to the right. Add '9s' to each side of the equation. 10p + -9s + 9s = 0 + 9s Combine like terms: -9s + 9s = 0 10p + 0 = 0 + 9s 10p = 0 + 9s Remove the zero: 10p = 9s Divide each side by '10'. p = 0.9s Simplifying p = 0.9sSubproblem 2
Set the factor '(10p + -9s)' equal to zero and attempt to solve: Simplifying 10p + -9s = 0 Solving 10p + -9s = 0 Move all terms containing p to the left, all other terms to the right. Add '9s' to each side of the equation. 10p + -9s + 9s = 0 + 9s Combine like terms: -9s + 9s = 0 10p + 0 = 0 + 9s 10p = 0 + 9s Remove the zero: 10p = 9s Divide each side by '10'. p = 0.9s Simplifying p = 0.9sSolution
p = {0.9s, 0.9s}
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