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