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Simplifying in(4x + -5) + in(x + -3) = in(15) Reorder the terms: in(-5 + 4x) + in(x + -3) = in(15) (-5 * in + 4x * in) + in(x + -3) = in(15) (-5in + 4inx) + in(x + -3) = in(15) Reorder the terms: -5in + 4inx + in(-3 + x) = in(15) -5in + 4inx + (-3 * in + x * in) = in(15) -5in + 4inx + (-3in + inx) = in(15) Reorder the terms: -5in + -3in + 4inx + inx = in(15) Combine like terms: -5in + -3in = -8in -8in + 4inx + inx = in(15) Combine like terms: 4inx + inx = 5inx -8in + 5inx = in(15) Reorder the terms for easier multiplication: -8in + 5inx = 15in Solving -8in + 5inx = 15in 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. -8in + -15in + 5inx = 15in + -15in Combine like terms: -8in + -15in = -23in -23in + 5inx = 15in + -15in Combine like terms: 15in + -15in = 0 -23in + 5inx = 0 Factor out the Greatest Common Factor (GCF), 'in'. in(-23 + 5x) = 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 '(-23 + 5x)' equal to zero and attempt to solve: Simplifying -23 + 5x = 0 Solving -23 + 5x = 0 Move all terms containing i to the left, all other terms to the right. Add '23' to each side of the equation. -23 + 23 + 5x = 0 + 23 Combine like terms: -23 + 23 = 0 0 + 5x = 0 + 23 5x = 0 + 23 Combine like terms: 0 + 23 = 23 5x = 23 Add '-5x' to each side of the equation. 5x + -5x = 23 + -5x Combine like terms: 5x + -5x = 0 0 = 23 + -5x Simplifying 0 = 23 + -5x 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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