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Simplifying in(x + -1) + in(x + -3) = in(3x + 15) Reorder the terms: in(-1 + x) + in(x + -3) = in(3x + 15) (-1 * in + x * in) + in(x + -3) = in(3x + 15) (-1in + inx) + in(x + -3) = in(3x + 15) Reorder the terms: -1in + inx + in(-3 + x) = in(3x + 15) -1in + inx + (-3 * in + x * in) = in(3x + 15) -1in + inx + (-3in + inx) = in(3x + 15) Reorder the terms: -1in + -3in + inx + inx = in(3x + 15) Combine like terms: -1in + -3in = -4in -4in + inx + inx = in(3x + 15) Combine like terms: inx + inx = 2inx -4in + 2inx = in(3x + 15) Reorder the terms: -4in + 2inx = in(15 + 3x) -4in + 2inx = (15 * in + 3x * in) -4in + 2inx = (15in + 3inx) Solving -4in + 2inx = 15in + 3inx Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-15in' to each side of the equation. -4in + -15in + 2inx = 15in + -15in + 3inx Combine like terms: -4in + -15in = -19in -19in + 2inx = 15in + -15in + 3inx Combine like terms: 15in + -15in = 0 -19in + 2inx = 0 + 3inx -19in + 2inx = 3inx Add '-3inx' to each side of the equation. -19in + 2inx + -3inx = 3inx + -3inx Combine like terms: 2inx + -3inx = -1inx -19in + -1inx = 3inx + -3inx Combine like terms: 3inx + -3inx = 0 -19in + -1inx = 0 Factor out the Greatest Common Factor (GCF), '-1in'. -1in(19 + x) = 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 '(19 + x)' equal to zero and attempt to solve: Simplifying 19 + x = 0 Solving 19 + x = 0 Move all terms containing i to the left, all other terms to the right. Add '-19' to each side of the equation. 19 + -19 + x = 0 + -19 Combine like terms: 19 + -19 = 0 0 + x = 0 + -19 x = 0 + -19 Combine like terms: 0 + -19 = -19 x = -19 Add '-1x' to each side of the equation. x + -1x = -19 + -1x Combine like terms: x + -1x = 0 0 = -19 + -1x Simplifying 0 = -19 + -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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