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Simplifying (x2 + 4) * x(x3 + -27i) = 0 Reorder the terms: (4 + x2) * x(x3 + -27i) = 0 Reorder the terms: (4 + x2) * x(-27i + x3) = 0 Reorder the terms for easier multiplication: x(4 + x2)(-27i + x3) = 0 Multiply (4 + x2) * (-27i + x3) x(4(-27i + x3) + x2(-27i + x3)) = 0 x((-27i * 4 + x3 * 4) + x2(-27i + x3)) = 0 x((-108i + 4x3) + x2(-27i + x3)) = 0 x(-108i + 4x3 + (-27i * x2 + x3 * x2)) = 0 x(-108i + 4x3 + (-27ix2 + x5)) = 0 Reorder the terms: x(-108i + -27ix2 + 4x3 + x5) = 0 x(-108i + -27ix2 + 4x3 + x5) = 0 (-108i * x + -27ix2 * x + 4x3 * x + x5 * x) = 0 (-108ix + -27ix3 + 4x4 + x6) = 0 Solving -108ix + -27ix3 + 4x4 + x6 = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-4x4' to each side of the equation. -108ix + -27ix3 + 4x4 + -4x4 + x6 = 0 + -4x4 Combine like terms: 4x4 + -4x4 = 0 -108ix + -27ix3 + 0 + x6 = 0 + -4x4 -108ix + -27ix3 + x6 = 0 + -4x4 Remove the zero: -108ix + -27ix3 + x6 = -4x4 Add '-1x6' to each side of the equation. -108ix + -27ix3 + x6 + -1x6 = -4x4 + -1x6 Combine like terms: x6 + -1x6 = 0 -108ix + -27ix3 + 0 = -4x4 + -1x6 -108ix + -27ix3 = -4x4 + -1x6 Reorder the terms: -108ix + -27ix3 + 4x4 + x6 = -4x4 + 4x4 + -1x6 + x6 Combine like terms: -4x4 + 4x4 = 0 -108ix + -27ix3 + 4x4 + x6 = 0 + -1x6 + x6 -108ix + -27ix3 + 4x4 + x6 = -1x6 + x6 Combine like terms: -1x6 + x6 = 0 -108ix + -27ix3 + 4x4 + x6 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(-108i + -27ix2 + 4x3 + x5) = 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 '(-108i + -27ix2 + 4x3 + x5)' equal to zero and attempt to solve: Simplifying -108i + -27ix2 + 4x3 + x5 = 0 Solving -108i + -27ix2 + 4x3 + x5 = 0 Move all terms containing i to the left, all other terms to the right. Add '-4x3' to each side of the equation. -108i + -27ix2 + 4x3 + -4x3 + x5 = 0 + -4x3 Combine like terms: 4x3 + -4x3 = 0 -108i + -27ix2 + 0 + x5 = 0 + -4x3 -108i + -27ix2 + x5 = 0 + -4x3 Remove the zero: -108i + -27ix2 + x5 = -4x3 Add '-1x5' to each side of the equation. -108i + -27ix2 + x5 + -1x5 = -4x3 + -1x5 Combine like terms: x5 + -1x5 = 0 -108i + -27ix2 + 0 = -4x3 + -1x5 -108i + -27ix2 = -4x3 + -1x5 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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