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Simplifying In(2x + 1) + in(x + -2) + -2Inx = 0 Reorder the terms: nI(1 + 2x) + in(x + -2) + -2Inx = 0 (1 * nI + 2x * nI) + in(x + -2) + -2Inx = 0 (1nI + 2nxI) + in(x + -2) + -2Inx = 0 Reorder the terms: 1nI + 2nxI + in(-2 + x) + -2Inx = 0 1nI + 2nxI + (-2 * in + x * in) + -2Inx = 0 1nI + 2nxI + (-2in + inx) + -2Inx = 0 Reorder the terms: -2in + inx + 1nI + 2nxI + -2nxI = 0 Combine like terms: 2nxI + -2nxI = 0 -2in + inx + 1nI + 0 = 0 -2in + inx + 1nI = 0 Solving -2in + inx + 1nI = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-1nI' to each side of the equation. -2in + inx + 1nI + -1nI = 0 + -1nI Combine like terms: 1nI + -1nI = 0 -2in + inx + 0 = 0 + -1nI -2in + inx = 0 + -1nI Remove the zero: -2in + inx = -1nI Combine like terms: -1nI + nI = 0 -2in + inx + nI = 0 Factor out the Greatest Common Factor (GCF), 'n'. n(-2i + ix + I) = 0Subproblem 1
Set the factor 'n' equal to zero and attempt to solve: Simplifying n = 0 Solving n = 0 Move all terms containing i to the left, all other terms to the right. Add '-1n' to each side of the equation. n + -1n = 0 + -1n Remove the zero: 0 = -1n Simplifying 0 = -1n 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 '(-2i + ix + I)' equal to zero and attempt to solve: Simplifying -2i + ix + I = 0 Reorder the terms: I + -2i + ix = 0 Solving I + -2i + ix = 0 Move all terms containing i to the left, all other terms to the right. Add '-1I' to each side of the equation. I + -2i + -1I + ix = 0 + -1I Reorder the terms: I + -1I + -2i + ix = 0 + -1I Combine like terms: I + -1I = 0 0 + -2i + ix = 0 + -1I -2i + ix = 0 + -1I Remove the zero: -2i + ix = -1I 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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