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Simplifying in(2x + 9) + -1in(x) = in(3) Reorder the terms: in(9 + 2x) + -1in(x) = in(3) (9 * in + 2x * in) + -1in(x) = in(3) (9in + 2inx) + -1in(x) = in(3) Multiply in * x 9in + 2inx + -1inx = in(3) Combine like terms: 2inx + -1inx = 1inx 9in + 1inx = in(3) Reorder the terms for easier multiplication: 9in + 1inx = 3in Solving 9in + 1inx = 3in 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. 9in + -3in + 1inx = 3in + -3in Combine like terms: 9in + -3in = 6in 6in + 1inx = 3in + -3in Combine like terms: 3in + -3in = 0 6in + 1inx = 0 Factor out the Greatest Common Factor (GCF), 'in'. in(6 + 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 '(6 + x)' equal to zero and attempt to solve: Simplifying 6 + x = 0 Solving 6 + x = 0 Move all terms containing i to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + x = 0 + -6 x = 0 + -6 Combine like terms: 0 + -6 = -6 x = -6 Add '-1x' to each side of the equation. x + -1x = -6 + -1x Combine like terms: x + -1x = 0 0 = -6 + -1x Simplifying 0 = -6 + -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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