(X-I)(X-I)=

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Solution for (X-I)(X-I)= equation:


Simplifying
(X + -1I)(X + -1I) = 0

Reorder the terms:
(-1I + X)(X + -1I) = 0

Reorder the terms:
(-1I + X)(-1I + X) = 0

Multiply (-1I + X) * (-1I + X)
(-1I * (-1I + X) + X(-1I + X)) = 0
((-1I * -1I + X * -1I) + X(-1I + X)) = 0

Reorder the terms:
((-1IX + 1I2) + X(-1I + X)) = 0
((-1IX + 1I2) + X(-1I + X)) = 0
(-1IX + 1I2 + (-1I * X + X * X)) = 0
(-1IX + 1I2 + (-1IX + X2)) = 0

Reorder the terms:
(-1IX + -1IX + 1I2 + X2) = 0

Combine like terms: -1IX + -1IX = -2IX
(-2IX + 1I2 + X2) = 0

Solving
-2IX + 1I2 + X2 = 0

Solving for variable 'I'.

Factor a trinomial.
(I + -1X)(I + -1X) = 0

Subproblem 1

Set the factor '(I + -1X)' equal to zero and attempt to solve: Simplifying I + -1X = 0 Solving I + -1X = 0 Move all terms containing I to the left, all other terms to the right. Add 'X' to each side of the equation. I + -1X + X = 0 + X Combine like terms: -1X + X = 0 I + 0 = 0 + X I = 0 + X Remove the zero: I = X Simplifying I = X

Subproblem 2

Set the factor '(I + -1X)' equal to zero and attempt to solve: Simplifying I + -1X = 0 Solving I + -1X = 0 Move all terms containing I to the left, all other terms to the right. Add 'X' to each side of the equation. I + -1X + X = 0 + X Combine like terms: -1X + X = 0 I + 0 = 0 + X I = 0 + X Remove the zero: I = X Simplifying I = X

Solution

I = {X, X}

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