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Simplifying (i + 2)(i + 4) = 0 Reorder the terms: (2 + i)(i + 4) = 0 Reorder the terms: (2 + i)(4 + i) = 0 Multiply (2 + i) * (4 + i) (2(4 + i) + i(4 + i)) = 0 ((4 * 2 + i * 2) + i(4 + i)) = 0 ((8 + 2i) + i(4 + i)) = 0 (8 + 2i + (4 * i + i * i)) = 0 (8 + 2i + (4i + i2)) = 0 Combine like terms: 2i + 4i = 6i (8 + 6i + i2) = 0 Solving 8 + 6i + i2 = 0 Solving for variable 'i'. Factor a trinomial. (4 + i)(2 + i) = 0Subproblem 1
Set the factor '(4 + i)' equal to zero and attempt to solve: Simplifying 4 + i = 0 Solving 4 + i = 0 Move all terms containing i to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + i = 0 + -4 Combine like terms: 4 + -4 = 0 0 + i = 0 + -4 i = 0 + -4 Combine like terms: 0 + -4 = -4 i = -4 Simplifying i = -4Subproblem 2
Set the factor '(2 + i)' equal to zero and attempt to solve: Simplifying 2 + i = 0 Solving 2 + i = 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 + i = 0 + -2 Combine like terms: 2 + -2 = 0 0 + i = 0 + -2 i = 0 + -2 Combine like terms: 0 + -2 = -2 i = -2 Simplifying i = -2Solution
i = {-4, -2}
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