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Simplifying in(x + 7) + in(x + 3) = In(77) Reorder the terms: in(7 + x) + in(x + 3) = In(77) (7 * in + x * in) + in(x + 3) = In(77) (7in + inx) + in(x + 3) = In(77) Reorder the terms: 7in + inx + in(3 + x) = In(77) 7in + inx + (3 * in + x * in) = In(77) 7in + inx + (3in + inx) = In(77) Reorder the terms: 7in + 3in + inx + inx = In(77) Combine like terms: 7in + 3in = 10in 10in + inx + inx = In(77) Combine like terms: inx + inx = 2inx 10in + 2inx = In(77) Reorder the terms for easier multiplication: 10in + 2inx = 77nI Solving 10in + 2inx = 77nI Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Combine like terms: 77nI + -77nI = 0 10in + 2inx + -77nI = 0 Factor out the Greatest Common Factor (GCF), 'n'. n(10i + 2ix + -77I) = 0Subproblem 1
Set the factor 'n' equal to zero and attempt to solve: Simplifying n = 0 Solving n = 0 Move all terms containing i to the left, all other terms to the right. Add '-1n' to each side of the equation. n + -1n = 0 + -1n Remove the zero: 0 = -1n Simplifying 0 = -1n 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 '(10i + 2ix + -77I)' equal to zero and attempt to solve: Simplifying 10i + 2ix + -77I = 0 Reorder the terms: -77I + 10i + 2ix = 0 Solving -77I + 10i + 2ix = 0 Move all terms containing i to the left, all other terms to the right. Add '77I' to each side of the equation. -77I + 10i + 77I + 2ix = 0 + 77I Reorder the terms: -77I + 77I + 10i + 2ix = 0 + 77I Combine like terms: -77I + 77I = 0 0 + 10i + 2ix = 0 + 77I 10i + 2ix = 0 + 77I Remove the zero: 10i + 2ix = 77I 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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