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Simplifying in(x + 2) + in(x) = in(x + 30) Reorder the terms: in(2 + x) + in(x) = in(x + 30) (2 * in + x * in) + in(x) = in(x + 30) (2in + inx) + in(x) = in(x + 30) Multiply in * x 2in + inx + inx = in(x + 30) Combine like terms: inx + inx = 2inx 2in + 2inx = in(x + 30) Reorder the terms: 2in + 2inx = in(30 + x) 2in + 2inx = (30 * in + x * in) 2in + 2inx = (30in + inx) Solving 2in + 2inx = 30in + inx Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-30in' to each side of the equation. 2in + -30in + 2inx = 30in + -30in + inx Combine like terms: 2in + -30in = -28in -28in + 2inx = 30in + -30in + inx Combine like terms: 30in + -30in = 0 -28in + 2inx = 0 + inx -28in + 2inx = inx Add '-1inx' to each side of the equation. -28in + 2inx + -1inx = inx + -1inx Combine like terms: 2inx + -1inx = 1inx -28in + 1inx = inx + -1inx Combine like terms: inx + -1inx = 0 -28in + 1inx = 0 Factor out the Greatest Common Factor (GCF), 'in'. in(-28 + 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 '(-28 + x)' equal to zero and attempt to solve: Simplifying -28 + x = 0 Solving -28 + x = 0 Move all terms containing i to the left, all other terms to the right. Add '28' to each side of the equation. -28 + 28 + x = 0 + 28 Combine like terms: -28 + 28 = 0 0 + x = 0 + 28 x = 0 + 28 Combine like terms: 0 + 28 = 28 x = 28 Add '-1x' to each side of the equation. x + -1x = 28 + -1x Combine like terms: x + -1x = 0 0 = 28 + -1x Simplifying 0 = 28 + -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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