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Simplifying in(x + -1) + -1in(4x) = in(2x + -1) + in(2) Reorder the terms: in(-1 + x) + -1in(4x) = in(2x + -1) + in(2) (-1 * in + x * in) + -1in(4x) = in(2x + -1) + in(2) (-1in + inx) + -1in(4x) = in(2x + -1) + in(2) Remove parenthesis around (4x) -1in + inx + -1in * 4x = in(2x + -1) + in(2) Reorder the terms for easier multiplication: -1in + inx + -1 * 4in * x = in(2x + -1) + in(2) Multiply -1 * 4 -1in + inx + -4in * x = in(2x + -1) + in(2) Multiply in * x -1in + inx + -4inx = in(2x + -1) + in(2) Combine like terms: inx + -4inx = -3inx -1in + -3inx = in(2x + -1) + in(2) Reorder the terms: -1in + -3inx = in(-1 + 2x) + in(2) -1in + -3inx = (-1 * in + 2x * in) + in(2) -1in + -3inx = (-1in + 2inx) + in(2) Reorder the terms for easier multiplication: -1in + -3inx = -1in + 2inx + 2in Reorder the terms: -1in + -3inx = -1in + 2in + 2inx Combine like terms: -1in + 2in = 1in -1in + -3inx = 1in + 2inx Solving -1in + -3inx = 1in + 2inx Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-1in' to each side of the equation. -1in + -1in + -3inx = 1in + -1in + 2inx Combine like terms: -1in + -1in = -2in -2in + -3inx = 1in + -1in + 2inx Combine like terms: 1in + -1in = 0 -2in + -3inx = 0 + 2inx -2in + -3inx = 2inx Add '-2inx' to each side of the equation. -2in + -3inx + -2inx = 2inx + -2inx Combine like terms: -3inx + -2inx = -5inx -2in + -5inx = 2inx + -2inx Combine like terms: 2inx + -2inx = 0 -2in + -5inx = 0 Factor out the Greatest Common Factor (GCF), '-1in'. -1in(2 + 5x) = 0 Ignore the factor -1.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 + 5x)' equal to zero and attempt to solve: Simplifying 2 + 5x = 0 Solving 2 + 5x = 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 + 5x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 5x = 0 + -2 5x = 0 + -2 Combine like terms: 0 + -2 = -2 5x = -2 Add '-5x' to each side of the equation. 5x + -5x = -2 + -5x Combine like terms: 5x + -5x = 0 0 = -2 + -5x Simplifying 0 = -2 + -5x 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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