(x-5)(xi)(x+i)=0

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Solution for (x-5)(xi)(x+i)=0 equation:


Simplifying
(x + -5)(xi)(x + i) = 0

Reorder the terms:
(-5 + x)(xi)(x + i) = 0

Reorder the terms:
(-5 + x) * ix(i + x) = 0

Reorder the terms for easier multiplication:
ix(-5 + x)(i + x) = 0

Multiply (-5 + x) * (i + x)
ix(-5(i + x) + x(i + x)) = 0
ix((i * -5 + x * -5) + x(i + x)) = 0
ix((-5i + -5x) + x(i + x)) = 0
ix(-5i + -5x + (i * x + x * x)) = 0
ix(-5i + -5x + (ix + x2)) = 0

Reorder the terms:
ix(-5i + ix + -5x + x2) = 0
ix(-5i + ix + -5x + x2) = 0
(-5i * ix + ix * ix + -5x * ix + x2 * ix) = 0

Reorder the terms:
(-5ix2 + ix3 + -5i2x + i2x2) = 0
(-5ix2 + ix3 + -5i2x + i2x2) = 0

Solving
-5ix2 + ix3 + -5i2x + i2x2 = 0

Solving for variable 'i'.

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

Subproblem 1

Set the factor 'ix' equal to zero and attempt to solve: Simplifying ix = 0 Solving ix = 0 Move all terms containing i to the left, all other terms to the right. Simplifying ix = 0 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 '(-5x + x2 + -5i + ix)' equal to zero and attempt to solve: Simplifying -5x + x2 + -5i + ix = 0 Reorder the terms: -5i + ix + -5x + x2 = 0 Solving -5i + ix + -5x + x2 = 0 Move all terms containing i to the left, all other terms to the right. Add '5x' to each side of the equation. -5i + ix + -5x + 5x + x2 = 0 + 5x Combine like terms: -5x + 5x = 0 -5i + ix + 0 + x2 = 0 + 5x -5i + ix + x2 = 0 + 5x Remove the zero: -5i + ix + x2 = 5x Add '-1x2' to each side of the equation. -5i + ix + x2 + -1x2 = 5x + -1x2 Combine like terms: x2 + -1x2 = 0 -5i + ix + 0 = 5x + -1x2 -5i + ix = 5x + -1x2 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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