n=9200In(5t+3)

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Solution for n=9200In(5t+3) equation:


Simplifying
n = 9200In(5t + 3)

Reorder the terms:
n = 9200nI(3 + 5t)
n = (3 * 9200nI + 5t * 9200nI)
n = (27600nI + 46000ntI)

Solving
n = 27600nI + 46000ntI

Solving for variable 'n'.

Move all terms containing n to the left, all other terms to the right.

Add '-27600nI' to each side of the equation.
n + -27600nI = 27600nI + -27600nI + 46000ntI

Combine like terms: 27600nI + -27600nI = 0
n + -27600nI = 0 + 46000ntI
n + -27600nI = 46000ntI

Add '-46000ntI' to each side of the equation.
n + -27600nI + -46000ntI = 46000ntI + -46000ntI

Combine like terms: 46000ntI + -46000ntI = 0
n + -27600nI + -46000ntI = 0

Factor out the Greatest Common Factor (GCF), 'n'.
n(1 + -27600I + -46000tI) = 0

Subproblem 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 = 0

Subproblem 2

Set the factor '(1 + -27600I + -46000tI)' equal to zero and attempt to solve: Simplifying 1 + -27600I + -46000tI = 0 Solving 1 + -27600I + -46000tI = 0 Move all terms containing n to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -27600I + -1 + -46000tI = 0 + -1 Reorder the terms: 1 + -1 + -27600I + -46000tI = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -27600I + -46000tI = 0 + -1 -27600I + -46000tI = 0 + -1 Combine like terms: 0 + -1 = -1 -27600I + -46000tI = -1 Add '27600I' to each side of the equation. -27600I + 27600I + -46000tI = -1 + 27600I Combine like terms: -27600I + 27600I = 0 0 + -46000tI = -1 + 27600I -46000tI = -1 + 27600I Add '46000tI' to each side of the equation. -46000tI + 46000tI = -1 + 27600I + 46000tI Combine like terms: -46000tI + 46000tI = 0 0 = -1 + 27600I + 46000tI Simplifying 0 = -1 + 27600I + 46000tI 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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