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Simplifying inx + in(x + -1) = in(5x + -8) Reorder the terms: inx + in(-1 + x) = in(5x + -8) inx + (-1 * in + x * in) = in(5x + -8) inx + (-1in + inx) = in(5x + -8) Reorder the terms: -1in + inx + inx = in(5x + -8) Combine like terms: inx + inx = 2inx -1in + 2inx = in(5x + -8) Reorder the terms: -1in + 2inx = in(-8 + 5x) -1in + 2inx = (-8 * in + 5x * in) -1in + 2inx = (-8in + 5inx) Solving -1in + 2inx = -8in + 5inx 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. -1in + 8in + 2inx = -8in + 8in + 5inx Combine like terms: -1in + 8in = 7in 7in + 2inx = -8in + 8in + 5inx Combine like terms: -8in + 8in = 0 7in + 2inx = 0 + 5inx 7in + 2inx = 5inx Add '-5inx' to each side of the equation. 7in + 2inx + -5inx = 5inx + -5inx Combine like terms: 2inx + -5inx = -3inx 7in + -3inx = 5inx + -5inx Combine like terms: 5inx + -5inx = 0 7in + -3inx = 0 Factor out the Greatest Common Factor (GCF), 'in'. in(7 + -3x) = 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 + -3x)' equal to zero and attempt to solve: Simplifying 7 + -3x = 0 Solving 7 + -3x = 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 + -3x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -3x = 0 + -7 -3x = 0 + -7 Combine like terms: 0 + -7 = -7 -3x = -7 Add '3x' to each side of the equation. -3x + 3x = -7 + 3x Combine like terms: -3x + 3x = 0 0 = -7 + 3x Simplifying 0 = -7 + 3x 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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