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Simplifying n(H) = n(I) Multiply n * H nH = n(I) Multiply n * I nH = nI Solving nH = nI Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-1nI' to each side of the equation. nH + -1nI = nI + -1nI Combine like terms: nI + -1nI = 0 nH + -1nI = 0 Factor out the Greatest Common Factor (GCF), 'n'. n(H + -1I) = 0Subproblem 1
Set the factor 'n' equal to zero and attempt to solve: Simplifying n = 0 Solving n = 0 Move all terms containing n to the left, all other terms to the right. Simplifying n = 0Subproblem 2
Set the factor '(H + -1I)' equal to zero and attempt to solve: Simplifying H + -1I = 0 Solving H + -1I = 0 Move all terms containing n to the left, all other terms to the right. Add '-1H' to each side of the equation. H + -1H + -1I = 0 + -1H Combine like terms: H + -1H = 0 0 + -1I = 0 + -1H -1I = 0 + -1H Remove the zero: -1I = -1H Add 'I' to each side of the equation. -1I + I = -1H + I Combine like terms: -1I + I = 0 0 = -1H + I Simplifying 0 = -1H + I The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
n = {0}
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