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