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