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Simplifying in(1 + -1x) + in(2 + -1x) = in(x + 14) (1 * in + -1x * in) + in(2 + -1x) = in(x + 14) (1in + -1inx) + in(2 + -1x) = in(x + 14) 1in + -1inx + (2 * in + -1x * in) = in(x + 14) 1in + -1inx + (2in + -1inx) = in(x + 14) Reorder the terms: 1in + 2in + -1inx + -1inx = in(x + 14) Combine like terms: 1in + 2in = 3in 3in + -1inx + -1inx = in(x + 14) Combine like terms: -1inx + -1inx = -2inx 3in + -2inx = in(x + 14) Reorder the terms: 3in + -2inx = in(14 + x) 3in + -2inx = (14 * in + x * in) 3in + -2inx = (14in + inx) Solving 3in + -2inx = 14in + inx Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-14in' to each side of the equation. 3in + -14in + -2inx = 14in + -14in + inx Combine like terms: 3in + -14in = -11in -11in + -2inx = 14in + -14in + inx Combine like terms: 14in + -14in = 0 -11in + -2inx = 0 + inx -11in + -2inx = inx Add '-1inx' to each side of the equation. -11in + -2inx + -1inx = inx + -1inx Combine like terms: -2inx + -1inx = -3inx -11in + -3inx = inx + -1inx Combine like terms: inx + -1inx = 0 -11in + -3inx = 0 Factor out the Greatest Common Factor (GCF), '-1in'. -1in(11 + 3x) = 0 Ignore the factor -1.Subproblem 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 '(11 + 3x)' equal to zero and attempt to solve: Simplifying 11 + 3x = 0 Solving 11 + 3x = 0 Move all terms containing i to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + 3x = 0 + -11 Combine like terms: 11 + -11 = 0 0 + 3x = 0 + -11 3x = 0 + -11 Combine like terms: 0 + -11 = -11 3x = -11 Add '-3x' to each side of the equation. 3x + -3x = -11 + -3x Combine like terms: 3x + -3x = 0 0 = -11 + -3x Simplifying 0 = -11 + -3x 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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