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Simplifying (x + 4)(x2 + -9i2) = 0 Reorder the terms: (4 + x)(x2 + -9i2) = 0 Reorder the terms: (4 + x)(-9i2 + x2) = 0 Multiply (4 + x) * (-9i2 + x2) (4(-9i2 + x2) + x(-9i2 + x2)) = 0 ((-9i2 * 4 + x2 * 4) + x(-9i2 + x2)) = 0 ((-36i2 + 4x2) + x(-9i2 + x2)) = 0 (-36i2 + 4x2 + (-9i2 * x + x2 * x)) = 0 (-36i2 + 4x2 + (-9i2x + x3)) = 0 Reorder the terms: (-36i2 + -9i2x + 4x2 + x3) = 0 (-36i2 + -9i2x + 4x2 + x3) = 0 Solving -36i2 + -9i2x + 4x2 + x3 = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-4x2' to each side of the equation. -36i2 + -9i2x + 4x2 + -4x2 + x3 = 0 + -4x2 Combine like terms: 4x2 + -4x2 = 0 -36i2 + -9i2x + 0 + x3 = 0 + -4x2 -36i2 + -9i2x + x3 = 0 + -4x2 Remove the zero: -36i2 + -9i2x + x3 = -4x2 Add '-1x3' to each side of the equation. -36i2 + -9i2x + x3 + -1x3 = -4x2 + -1x3 Combine like terms: x3 + -1x3 = 0 -36i2 + -9i2x + 0 = -4x2 + -1x3 -36i2 + -9i2x = -4x2 + -1x3 Reorder the terms: -36i2 + -9i2x + 4x2 + x3 = -4x2 + 4x2 + -1x3 + x3 Combine like terms: -4x2 + 4x2 = 0 -36i2 + -9i2x + 4x2 + x3 = 0 + -1x3 + x3 -36i2 + -9i2x + 4x2 + x3 = -1x3 + x3 Combine like terms: -1x3 + x3 = 0 -36i2 + -9i2x + 4x2 + x3 = 0 The solution to this equation could not be determined.
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