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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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