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Simplifying in(x) + in(x + -2) = in(8) Multiply in * x inx + in(x + -2) = in(8) Reorder the terms: inx + in(-2 + x) = in(8) inx + (-2 * in + x * in) = in(8) inx + (-2in + inx) = in(8) Reorder the terms: -2in + inx + inx = in(8) Combine like terms: inx + inx = 2inx -2in + 2inx = in(8) Reorder the terms for easier multiplication: -2in + 2inx = 8in Solving -2in + 2inx = 8in Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-8in' to each side of the equation. -2in + -8in + 2inx = 8in + -8in Combine like terms: -2in + -8in = -10in -10in + 2inx = 8in + -8in Combine like terms: 8in + -8in = 0 -10in + 2inx = 0 Factor out the Greatest Common Factor (GCF), '2in'. 2in(-5 + 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 '(-5 + x)' equal to zero and attempt to solve: Simplifying -5 + x = 0 Solving -5 + x = 0 Move all terms containing i to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + x = 0 + 5 Combine like terms: -5 + 5 = 0 0 + x = 0 + 5 x = 0 + 5 Combine like terms: 0 + 5 = 5 x = 5 Add '-1x' to each side of the equation. x + -1x = 5 + -1x Combine like terms: x + -1x = 0 0 = 5 + -1x Simplifying 0 = 5 + -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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