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Simplifying In(x + -2) + in(2x + -3) = 0 Reorder the terms: nI(-2 + x) + in(2x + -3) = 0 (-2 * nI + x * nI) + in(2x + -3) = 0 (-2nI + nxI) + in(2x + -3) = 0 Reorder the terms: -2nI + nxI + in(-3 + 2x) = 0 -2nI + nxI + (-3 * in + 2x * in) = 0 -2nI + nxI + (-3in + 2inx) = 0 Reorder the terms: -3in + 2inx + -2nI + nxI = 0 Solving -3in + 2inx + -2nI + nxI = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '2nI' to each side of the equation. -3in + 2inx + -2nI + 2nI + nxI = 0 + 2nI Combine like terms: -2nI + 2nI = 0 -3in + 2inx + 0 + nxI = 0 + 2nI -3in + 2inx + nxI = 0 + 2nI Remove the zero: -3in + 2inx + nxI = 2nI Add '-1nxI' to each side of the equation. -3in + 2inx + nxI + -1nxI = 2nI + -1nxI Combine like terms: nxI + -1nxI = 0 -3in + 2inx + 0 = 2nI + -1nxI -3in + 2inx = 2nI + -1nxI Reorder the terms: -3in + 2inx + -2nI + nxI = 2nI + -2nI + -1nxI + nxI Combine like terms: 2nI + -2nI = 0 -3in + 2inx + -2nI + nxI = 0 + -1nxI + nxI -3in + 2inx + -2nI + nxI = -1nxI + nxI Combine like terms: -1nxI + nxI = 0 -3in + 2inx + -2nI + nxI = 0 Factor out the Greatest Common Factor (GCF), 'n'. n(-3i + 2ix + -2I + xI) = 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 '(-3i + 2ix + -2I + xI)' equal to zero and attempt to solve: Simplifying -3i + 2ix + -2I + xI = 0 Reorder the terms: -2I + -3i + 2ix + xI = 0 Solving -2I + -3i + 2ix + xI = 0 Move all terms containing i to the left, all other terms to the right. Add '2I' to each side of the equation. -2I + -3i + 2ix + 2I + xI = 0 + 2I Reorder the terms: -2I + 2I + -3i + 2ix + xI = 0 + 2I Combine like terms: -2I + 2I = 0 0 + -3i + 2ix + xI = 0 + 2I -3i + 2ix + xI = 0 + 2I Remove the zero: -3i + 2ix + xI = 2I Add '-1xI' to each side of the equation. -3i + 2ix + xI + -1xI = 2I + -1xI Combine like terms: xI + -1xI = 0 -3i + 2ix + 0 = 2I + -1xI -3i + 2ix = 2I + -1xI 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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