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Simplifying in(3x + -2) = in(x) + in(7) Reorder the terms: in(-2 + 3x) = in(x) + in(7) (-2 * in + 3x * in) = in(x) + in(7) (-2in + 3inx) = in(x) + in(7) Multiply in * x -2in + 3inx = inx + in(7) Reorder the terms for easier multiplication: -2in + 3inx = inx + 7in Reorder the terms: -2in + 3inx = 7in + inx Solving -2in + 3inx = 7in + inx Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-7in' to each side of the equation. -2in + -7in + 3inx = 7in + -7in + inx Combine like terms: -2in + -7in = -9in -9in + 3inx = 7in + -7in + inx Combine like terms: 7in + -7in = 0 -9in + 3inx = 0 + inx -9in + 3inx = inx Add '-1inx' to each side of the equation. -9in + 3inx + -1inx = inx + -1inx Combine like terms: 3inx + -1inx = 2inx -9in + 2inx = inx + -1inx Combine like terms: inx + -1inx = 0 -9in + 2inx = 0 Factor out the Greatest Common Factor (GCF), 'in'. in(-9 + 2x) = 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 '(-9 + 2x)' equal to zero and attempt to solve: Simplifying -9 + 2x = 0 Solving -9 + 2x = 0 Move all terms containing i to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + 2x = 0 + 9 Combine like terms: -9 + 9 = 0 0 + 2x = 0 + 9 2x = 0 + 9 Combine like terms: 0 + 9 = 9 2x = 9 Add '-2x' to each side of the equation. 2x + -2x = 9 + -2x Combine like terms: 2x + -2x = 0 0 = 9 + -2x Simplifying 0 = 9 + -2x 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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