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Simplifying 58 = 10 + 6In(4x + 1) Reorder the terms: 58 = 10 + 6nI(1 + 4x) 58 = 10 + (1 * 6nI + 4x * 6nI) 58 = 10 + (6nI + 24nxI) Solving 58 = 10 + 6nI + 24nxI Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-6nI' to each side of the equation. 58 + -6nI = 10 + 6nI + -6nI + 24nxI Combine like terms: 6nI + -6nI = 0 58 + -6nI = 10 + 0 + 24nxI 58 + -6nI = 10 + 24nxI Add '-24nxI' to each side of the equation. 58 + -6nI + -24nxI = 10 + 24nxI + -24nxI Combine like terms: 24nxI + -24nxI = 0 58 + -6nI + -24nxI = 10 + 0 58 + -6nI + -24nxI = 10 Add '-58' to each side of the equation. 58 + -6nI + -58 + -24nxI = 10 + -58 Reorder the terms: 58 + -58 + -6nI + -24nxI = 10 + -58 Combine like terms: 58 + -58 = 0 0 + -6nI + -24nxI = 10 + -58 -6nI + -24nxI = 10 + -58 Combine like terms: 10 + -58 = -48 -6nI + -24nxI = -48 Reorder the terms: 48 + -6nI + -24nxI = -48 + 48 Combine like terms: -48 + 48 = 0 48 + -6nI + -24nxI = 0 Factor out the Greatest Common Factor (GCF), '6'. 6(8 + -1nI + -4nxI) = 0 Ignore the factor 6.Subproblem 1
Set the factor '(8 + -1nI + -4nxI)' equal to zero and attempt to solve: Simplifying 8 + -1nI + -4nxI = 0 Solving 8 + -1nI + -4nxI = 0 Move all terms containing n to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -1nI + -8 + -4nxI = 0 + -8 Reorder the terms: 8 + -8 + -1nI + -4nxI = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1nI + -4nxI = 0 + -8 -1nI + -4nxI = 0 + -8 Combine like terms: 0 + -8 = -8 -1nI + -4nxI = -8 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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