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