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