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Simplifying x2 + -1(1 + i) * x(2 + 2i) = 0 Reorder the terms for easier multiplication: x2 + -1x(1 + i)(2 + 2i) = 0 Multiply (1 + i) * (2 + 2i) x2 + -1x(1(2 + 2i) + i(2 + 2i)) = 0 x2 + -1x((2 * 1 + 2i * 1) + i(2 + 2i)) = 0 x2 + -1x((2 + 2i) + i(2 + 2i)) = 0 x2 + -1x(2 + 2i + (2 * i + 2i * i)) = 0 x2 + -1x(2 + 2i + (2i + 2i2)) = 0 Combine like terms: 2i + 2i = 4i x2 + -1x(2 + 4i + 2i2) = 0 x2 + (2 * -1x + 4i * -1x + 2i2 * -1x) = 0 Reorder the terms: x2 + (-4ix + -2i2x + -2x) = 0 x2 + (-4ix + -2i2x + -2x) = 0 Reorder the terms: -4ix + -2i2x + -2x + x2 = 0 Solving -4ix + -2i2x + -2x + x2 = 0 Solving for variable 'i'. Factor out the Greatest Common Factor (GCF), 'x'. x(-4i + -2i2 + -2 + x) = 0Subproblem 1
Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing i to the left, all other terms to the right. Add '-1x' to each side of the equation. x + -1x = 0 + -1x Remove the zero: 0 = -1x Simplifying 0 = -1x The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(-4i + -2i2 + -2 + x)' equal to zero and attempt to solve: Simplifying -4i + -2i2 + -2 + x = 0 Reorder the terms: -2 + -4i + -2i2 + x = 0 Solving -2 + -4i + -2i2 + x = 0 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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