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Simplifying in(x + -3) + in(2x + -2) = 2inx Reorder the terms: in(-3 + x) + in(2x + -2) = 2inx (-3 * in + x * in) + in(2x + -2) = 2inx (-3in + inx) + in(2x + -2) = 2inx Reorder the terms: -3in + inx + in(-2 + 2x) = 2inx -3in + inx + (-2 * in + 2x * in) = 2inx -3in + inx + (-2in + 2inx) = 2inx Reorder the terms: -3in + -2in + inx + 2inx = 2inx Combine like terms: -3in + -2in = -5in -5in + inx + 2inx = 2inx Combine like terms: inx + 2inx = 3inx -5in + 3inx = 2inx Solving -5in + 3inx = 2inx Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-2inx' to each side of the equation. -5in + 3inx + -2inx = 2inx + -2inx Combine like terms: 3inx + -2inx = 1inx -5in + 1inx = 2inx + -2inx Combine like terms: 2inx + -2inx = 0 -5in + 1inx = 0 Factor out the Greatest Common Factor (GCF), 'in'. in(-5 + 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 '(-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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