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Simplifying 9 + -3i(1 + -1i) = 0 9 + (1 * -3i + -1i * -3i) = 0 9 + (-3i + 3i2) = 0 Solving 9 + -3i + 3i2 = 0 Solving for variable 'i'. Factor out the Greatest Common Factor (GCF), '3'. 3(3 + -1i + i2) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(3 + -1i + i2)' equal to zero and attempt to solve: Simplifying 3 + -1i + i2 = 0 Solving 3 + -1i + i2 = 0 Begin completing the square. Move the constant term to the right: Add '-3' to each side of the equation. 3 + -1i + -3 + i2 = 0 + -3 Reorder the terms: 3 + -3 + -1i + i2 = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1i + i2 = 0 + -3 -1i + i2 = 0 + -3 Combine like terms: 0 + -3 = -3 -1i + i2 = -3 The i term is -1i. Take half its coefficient (-0.5). Square it (0.25) and add it to both sides. Add '0.25' to each side of the equation. -1i + 0.25 + i2 = -3 + 0.25 Reorder the terms: 0.25 + -1i + i2 = -3 + 0.25 Combine like terms: -3 + 0.25 = -2.75 0.25 + -1i + i2 = -2.75 Factor a perfect square on the left side: (i + -0.5)(i + -0.5) = -2.75 Can't calculate square root of the right side. The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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