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Simplifying x2 + -8ix + -5ix2 = 0 Reorder the terms: -8ix + -5ix2 + x2 = 0 Solving -8ix + -5ix2 + x2 = 0 Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-1x2' to each side of the equation. -8ix + -5ix2 + x2 + -1x2 = 0 + -1x2 Combine like terms: x2 + -1x2 = 0 -8ix + -5ix2 + 0 = 0 + -1x2 -8ix + -5ix2 = 0 + -1x2 Remove the zero: -8ix + -5ix2 = -1x2 Combine like terms: -1x2 + x2 = 0 -8ix + -5ix2 + x2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(-8i + -5ix + 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 '(-8i + -5ix + x)' equal to zero and attempt to solve: Simplifying -8i + -5ix + x = 0 Solving -8i + -5ix + x = 0 Move all terms containing i to the left, all other terms to the right. Add '-1x' to each side of the equation. -8i + -5ix + x + -1x = 0 + -1x Combine like terms: x + -1x = 0 -8i + -5ix + 0 = 0 + -1x -8i + -5ix = 0 + -1x Remove the zero: -8i + -5ix = -1x 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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