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Simplifying pn2 + -19 = 0 Reorder the terms: -19 + n2p = 0 Solving -19 + n2p = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '19' to each side of the equation. -19 + 19 + n2p = 0 + 19 Combine like terms: -19 + 19 = 0 0 + n2p = 0 + 19 n2p = 0 + 19 Combine like terms: 0 + 19 = 19 n2p = 19 Divide each side by 'p'. n2 = 19p-1 Simplifying n2 = 19p-1 Combine like terms: 19p-1 + -19p-1 = 0 n2 + -19p-1 = 0 Factor out the Greatest Common Factor (GCF), 'p-1'. p-1(n2p + -19) = 0Subproblem 1
Set the factor 'p-1' equal to zero and attempt to solve: Simplifying p-1 = 0 Solving p-1 = 0 Move all terms containing n to the left, all other terms to the right. Add '-1p-1' to each side of the equation. p-1 + -1p-1 = 0 + -1p-1 Remove the zero: 0 = -1p-1 Simplifying 0 = -1p-1 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(n2p + -19)' equal to zero and attempt to solve: Simplifying n2p + -19 = 0 Reorder the terms: -19 + n2p = 0 Solving -19 + n2p = 0 Move all terms containing n to the left, all other terms to the right. Add '19' to each side of the equation. -19 + 19 + n2p = 0 + 19 Combine like terms: -19 + 19 = 0 0 + n2p = 0 + 19 n2p = 0 + 19 Combine like terms: 0 + 19 = 19 n2p = 19 Divide each side by 'p'. n2 = 19p-1 Simplifying n2 = 19p-1 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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