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Simplifying 2inx = in(10 + -3x) 2inx = (10 * in + -3x * in) 2inx = (10in + -3inx) Solving 2inx = 10in + -3inx Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-10in' to each side of the equation. -10in + 2inx = 10in + -10in + -3inx Combine like terms: 10in + -10in = 0 -10in + 2inx = 0 + -3inx -10in + 2inx = -3inx Add '3inx' to each side of the equation. -10in + 2inx + 3inx = -3inx + 3inx Combine like terms: 2inx + 3inx = 5inx -10in + 5inx = -3inx + 3inx Combine like terms: -3inx + 3inx = 0 -10in + 5inx = 0 Factor out the Greatest Common Factor (GCF), '5in'. 5in(-2 + x) = 0 Ignore the factor 5.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 '(-2 + x)' equal to zero and attempt to solve: Simplifying -2 + x = 0 Solving -2 + x = 0 Move all terms containing i to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + x = 0 + 2 Combine like terms: -2 + 2 = 0 0 + x = 0 + 2 x = 0 + 2 Combine like terms: 0 + 2 = 2 x = 2 Add '-1x' to each side of the equation. x + -1x = 2 + -1x Combine like terms: x + -1x = 0 0 = 2 + -1x Simplifying 0 = 2 + -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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