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Simplifying H(n) = 4n + 4findh(3) Multiply H * n nH = 4n + 4findh(3) Reorder the terms for easier multiplication: nH = 4n + 4 * 3dfhin Multiply 4 * 3 nH = 4n + 12dfhin Reorder the terms: nH = 12dfhin + 4n Solving nH = 12dfhin + 4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-12dfhin' to each side of the equation. -12dfhin + nH = 12dfhin + -12dfhin + 4n Combine like terms: 12dfhin + -12dfhin = 0 -12dfhin + nH = 0 + 4n -12dfhin + nH = 4n Add '-4n' to each side of the equation. -12dfhin + -4n + nH = 4n + -4n Combine like terms: 4n + -4n = 0 -12dfhin + -4n + nH = 0 Factor out the Greatest Common Factor (GCF), 'n'. n(-12dfhi + -4 + H) = 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 '(-12dfhi + -4 + H)' equal to zero and attempt to solve: Simplifying -12dfhi + -4 + H = 0 Reorder the terms: -4 + H + -12dfhi = 0 Solving -4 + H + -12dfhi = 0 Move all terms containing n to the left, all other terms to the right. Add '4' to each side of the equation. -4 + H + 4 + -12dfhi = 0 + 4 Reorder the terms: -4 + 4 + H + -12dfhi = 0 + 4 Combine like terms: -4 + 4 = 0 0 + H + -12dfhi = 0 + 4 H + -12dfhi = 0 + 4 Combine like terms: 0 + 4 = 4 H + -12dfhi = 4 Add '-1H' to each side of the equation. H + -1H + -12dfhi = 4 + -1H Combine like terms: H + -1H = 0 0 + -12dfhi = 4 + -1H -12dfhi = 4 + -1H Add '12dfhi' to each side of the equation. -12dfhi + 12dfhi = 4 + -1H + 12dfhi Combine like terms: -12dfhi + 12dfhi = 0 0 = 4 + -1H + 12dfhi Simplifying 0 = 4 + -1H + 12dfhi 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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