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Simplifying 3in(x) + 2in(4) = in(128) Multiply in * x 3inx + 2in(4) = in(128) Reorder the terms for easier multiplication: 3inx + 2 * 4in = in(128) Multiply 2 * 4 3inx + 8in = in(128) Reorder the terms: 8in + 3inx = in(128) Reorder the terms for easier multiplication: 8in + 3inx = 128in Solving 8in + 3inx = 128in Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-128in' to each side of the equation. 8in + -128in + 3inx = 128in + -128in Combine like terms: 8in + -128in = -120in -120in + 3inx = 128in + -128in Combine like terms: 128in + -128in = 0 -120in + 3inx = 0 Factor out the Greatest Common Factor (GCF), '3in'. 3in(-40 + x) = 0 Ignore the factor 3.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 '(-40 + x)' equal to zero and attempt to solve: Simplifying -40 + x = 0 Solving -40 + x = 0 Move all terms containing i to the left, all other terms to the right. Add '40' to each side of the equation. -40 + 40 + x = 0 + 40 Combine like terms: -40 + 40 = 0 0 + x = 0 + 40 x = 0 + 40 Combine like terms: 0 + 40 = 40 x = 40 Add '-1x' to each side of the equation. x + -1x = 40 + -1x Combine like terms: x + -1x = 0 0 = 40 + -1x Simplifying 0 = 40 + -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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