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Simplifying Inx + in(x + 1) = in(12) Reorder the terms: nxI + in(1 + x) = in(12) nxI + (1 * in + x * in) = in(12) nxI + (1in + inx) = in(12) Reorder the terms: 1in + inx + nxI = in(12) Reorder the terms for easier multiplication: 1in + inx + nxI = 12in Solving 1in + inx + nxI = 12in Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-12in' to each side of the equation. 1in + inx + -12in + nxI = 12in + -12in Reorder the terms: 1in + -12in + inx + nxI = 12in + -12in Combine like terms: 1in + -12in = -11in -11in + inx + nxI = 12in + -12in Combine like terms: 12in + -12in = 0 -11in + inx + nxI = 0 Add '-1nxI' to each side of the equation. -11in + inx + nxI + -1nxI = 0 + -1nxI Combine like terms: nxI + -1nxI = 0 -11in + inx + 0 = 0 + -1nxI -11in + inx = 0 + -1nxI Remove the zero: -11in + inx = -1nxI Combine like terms: -1nxI + nxI = 0 -11in + inx + nxI = 0 Factor out the Greatest Common Factor (GCF), 'n'. n(-11i + ix + 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 '(-11i + ix + xI)' equal to zero and attempt to solve: Simplifying -11i + ix + xI = 0 Solving -11i + ix + xI = 0 Move all terms containing i to the left, all other terms to the right. Add '-1xI' to each side of the equation. -11i + ix + xI + -1xI = 0 + -1xI Combine like terms: xI + -1xI = 0 -11i + ix + 0 = 0 + -1xI -11i + ix = 0 + -1xI Remove the zero: -11i + ix = -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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