ix^2-2ix+5i=0

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Solution for ix^2-2ix+5i=0 equation:


Simplifying
ix2 + -2ix + 5i = 0

Reorder the terms:
5i + -2ix + ix2 = 0

Solving
5i + -2ix + ix2 = 0

Solving for variable 'i'.

Move all terms containing i to the left, all other terms to the right.

Factor out the Greatest Common Factor (GCF), 'i'.
i(5 + -2x + x2) = 0

Subproblem 1

Set the factor 'i' equal to zero and attempt to solve: Simplifying i = 0 Solving i = 0 Move all terms containing i to the left, all other terms to the right. Simplifying i = 0

Subproblem 2

Set the factor '(5 + -2x + x2)' equal to zero and attempt to solve: Simplifying 5 + -2x + x2 = 0 Solving 5 + -2x + x2 = 0 Move all terms containing i to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -2x + -5 + x2 = 0 + -5 Reorder the terms: 5 + -5 + -2x + x2 = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -2x + x2 = 0 + -5 -2x + x2 = 0 + -5 Combine like terms: 0 + -5 = -5 -2x + x2 = -5 Add '2x' to each side of the equation. -2x + 2x + x2 = -5 + 2x Combine like terms: -2x + 2x = 0 0 + x2 = -5 + 2x x2 = -5 + 2x Add '-1x2' to each side of the equation. x2 + -1x2 = -5 + 2x + -1x2 Combine like terms: x2 + -1x2 = 0 0 = -5 + 2x + -1x2 Simplifying 0 = -5 + 2x + -1x2 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Solution

i = {0}

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