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