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Simplifying in(x + 1) + in(x + -2) = in(5) + in(2) Reorder the terms: in(1 + x) + in(x + -2) = in(5) + in(2) (1 * in + x * in) + in(x + -2) = in(5) + in(2) (1in + inx) + in(x + -2) = in(5) + in(2) Reorder the terms: 1in + inx + in(-2 + x) = in(5) + in(2) 1in + inx + (-2 * in + x * in) = in(5) + in(2) 1in + inx + (-2in + inx) = in(5) + in(2) Reorder the terms: 1in + -2in + inx + inx = in(5) + in(2) Combine like terms: 1in + -2in = -1in -1in + inx + inx = in(5) + in(2) Combine like terms: inx + inx = 2inx -1in + 2inx = in(5) + in(2) Reorder the terms for easier multiplication: -1in + 2inx = 5in + in(2) Reorder the terms for easier multiplication: -1in + 2inx = 5in + 2in Combine like terms: 5in + 2in = 7in -1in + 2inx = 7in Solving -1in + 2inx = 7in Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-7in' to each side of the equation. -1in + -7in + 2inx = 7in + -7in Combine like terms: -1in + -7in = -8in -8in + 2inx = 7in + -7in Combine like terms: 7in + -7in = 0 -8in + 2inx = 0 Factor out the Greatest Common Factor (GCF), '2in'. 2in(-4 + x) = 0 Ignore the factor 2.Subproblem 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 '(-4 + x)' equal to zero and attempt to solve: Simplifying -4 + x = 0 Solving -4 + x = 0 Move all terms containing i to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + x = 0 + 4 Combine like terms: -4 + 4 = 0 0 + x = 0 + 4 x = 0 + 4 Combine like terms: 0 + 4 = 4 x = 4 Add '-1x' to each side of the equation. x + -1x = 4 + -1x Combine like terms: x + -1x = 0 0 = 4 + -1x Simplifying 0 = 4 + -1x 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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