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Simplifying (x + -4)(x + -3i) = 0 Reorder the terms: (-4 + x)(x + -3i) = 0 Reorder the terms: (-4 + x)(-3i + x) = 0 Multiply (-4 + x) * (-3i + x) (-4(-3i + x) + x(-3i + x)) = 0 ((-3i * -4 + x * -4) + x(-3i + x)) = 0 ((12i + -4x) + x(-3i + x)) = 0 (12i + -4x + (-3i * x + x * x)) = 0 (12i + -4x + (-3ix + x2)) = 0 Reorder the terms: (12i + -3ix + -4x + x2) = 0 (12i + -3ix + -4x + x2) = 0 Solving 12i + -3ix + -4x + x2 = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '4x' to each side of the equation. 12i + -3ix + -4x + 4x + x2 = 0 + 4x Combine like terms: -4x + 4x = 0 12i + -3ix + 0 + x2 = 0 + 4x 12i + -3ix + x2 = 0 + 4x Remove the zero: 12i + -3ix + x2 = 4x Add '-1x2' to each side of the equation. 12i + -3ix + x2 + -1x2 = 4x + -1x2 Combine like terms: x2 + -1x2 = 0 12i + -3ix + 0 = 4x + -1x2 12i + -3ix = 4x + -1x2 Reorder the terms: 12i + -3ix + -4x + x2 = 4x + -4x + -1x2 + x2 Combine like terms: 4x + -4x = 0 12i + -3ix + -4x + x2 = 0 + -1x2 + x2 12i + -3ix + -4x + x2 = -1x2 + x2 Combine like terms: -1x2 + x2 = 0 12i + -3ix + -4x + x2 = 0 The solution to this equation could not be determined.
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