(x-3i)(x^2-5x-x*sqrt(3)+5*sqrt(3))=y

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Solution for (x-3i)(x^2-5x-xsqrt(3)+5sqrt(3))=y equation:

Simplifying
(x + -3i)(x² + -5x + -1x * sqrt(3) + 5sqrt(3)) = y

Reorder the terms:
(-3i + x)(x² + -5x + -1x * sqrt(3) + 5sqrt(3)) = y

Reorder the terms for easier multiplication:
(-3i + x)(x² + -5x + -1 * 3x * qrst + 5sqrt(3)) = y

Multiply -1 * 3
(-3i + x)(x² + -5x + -3x * qrst + 5sqrt(3)) = y

Multiply x * qrst
(-3i + x)(x² + -5x + -3qrstx + 5sqrt(3)) = y

Reorder the terms for easier multiplication:
(-3i + x)(x² + -5x + -3qrstx + 5 * 3qrst) = y

Multiply 5 * 3
(-3i + x)(x² + -5x + -3qrstx + 15qrst) = y

Reorder the terms:
(-3i + x)(15qrst + -3qrstx + -5x + x²) = y

Multiply (-3i + x) * (15qrst + -3qrstx + -5x + x²)
(-3i * (15qrst + -3qrstx + -5x + x²) + x(15qrst + -3qrstx + -5x + x²)) = y
((15qrst * -3i + -3qrstx * -3i + -5x * -3i + x² * -3i) + x(15qrst + -3qrstx + -5x + x²)) = y
((-45iqrst + 9iqrstx + 15ix + -3ix²) + x(15qrst + -3qrstx + -5x + x²)) = y
(-45iqrst + 9iqrstx + 15ix + -3ix² + (15qrst * x + -3qrstx * x + -5x * x + x² * x)) = y
(-45iqrst + 9iqrstx + 15ix + -3ix² + (15qrstx + -3qrstx² + -5x² + x³)) = y
(-45iqrst + 9iqrstx + 15ix + -3ix² + 15qrstx + -3qrstx² + -5x² + x³) = y

Solving
-45iqrst + 9iqrstx + 15ix + -3ix² + 15qrstx + -3qrstx² + -5x² + x³ = y

Solving for variable 'i'.

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

Add '-15qrstx' to each side of the equation.
-45iqrst + 9iqrstx + 15ix + -3ix² + 15qrstx + -3qrstx² + -5x² + -15qrstx + x³ = -15qrstx + y

Reorder the terms:
-45iqrst + 9iqrstx + 15ix + -3ix² + 15qrstx + -15qrstx + -3qrstx² + -5x² + x³ = -15qrstx + y

Combine like terms: 15qrstx + -15qrstx = 0
-45iqrst + 9iqrstx + 15ix + -3ix² + 0 + -3qrstx² + -5x² + x³ = -15qrstx + y
-45iqrst + 9iqrstx + 15ix + -3ix² + -3qrstx² + -5x² + x³ = -15qrstx + y

Add '3qrstx²' to each side of the equation.
-45iqrst + 9iqrstx + 15ix + -3ix² + -3qrstx² + -5x² + 3qrstx² + x³ = -15qrstx + 3qrstx² + y

Reorder the terms:
-45iqrst + 9iqrstx + 15ix + -3ix² + -3qrstx² + 3qrstx² + -5x² + x³ = -15qrstx + 3qrstx² + y

Combine like terms: -3qrstx² + 3qrstx² = 0
-45iqrst + 9iqrstx + 15ix + -3ix² + 0 + -5x² + x³ = -15qrstx + 3qrstx² + y
-45iqrst + 9iqrstx + 15ix + -3ix² + -5x² + x³ = -15qrstx + 3qrstx² + y

Add '5x²' to each side of the equation.
-45iqrst + 9iqrstx + 15ix + -3ix² + -5x² + 5x² + x³ = -15qrstx + 3qrstx² + 5x² + y

Combine like terms: -5x² + 5x² = 0
-45iqrst + 9iqrstx + 15ix + -3ix² + 0 + x³ = -15qrstx + 3qrstx² + 5x² + y
-45iqrst + 9iqrstx + 15ix + -3ix² + x³ = -15qrstx + 3qrstx² + 5x² + y

Add '-1x³' to each side of the equation.
-45iqrst + 9iqrstx + 15ix + -3ix² + x³ + -1x³ = -15qrstx + 3qrstx² + 5x² + -1x³ + y

Combine like terms: x³ + -1x³ = 0
-45iqrst + 9iqrstx + 15ix + -3ix² + 0 = -15qrstx + 3qrstx² + 5x² + -1x³ + y
-45iqrst + 9iqrstx + 15ix + -3ix² = -15qrstx + 3qrstx² + 5x² + -1x³ + y

Reorder the terms:
-45iqrst + 9iqrstx + 15ix + -3ix² + 15qrstx + -3qrstx² + -5x² + x³ + -1y = -15qrstx + 15qrstx + 3qrstx² + -3qrstx² + 5x² + -5x² + -1x³ + x³ + y + -1y

Combine like terms: -15qrstx + 15qrstx = 0
-45iqrst + 9iqrstx + 15ix + -3ix² + 15qrstx + -3qrstx² + -5x² + x³ + -1y = 0 + 3qrstx² + -3qrstx² + 5x² + -5x² + -1x³ + x³ + y + -1y
-45iqrst + 9iqrstx + 15ix + -3ix² + 15qrstx + -3qrstx² + -5x² + x³ + -1y = 3qrstx² + -3qrstx² + 5x² + -5x² + -1x³ + x³ + y + -1y

Combine like terms: 3qrstx² + -3qrstx² = 0
-45iqrst + 9iqrstx + 15ix + -3ix² + 15qrstx + -3qrstx² + -5x² + x³ + -1y = 0 + 5x² + -5x² + -1x³ + x³ + y + -1y
-45iqrst + 9iqrstx + 15ix + -3ix² + 15qrstx + -3qrstx² + -5x² + x³ + -1y = 5x² + -5x² + -1x³ + x³ + y + -1y

Combine like terms: 5x² + -5x² = 0
-45iqrst + 9iqrstx + 15ix + -3ix² + 15qrstx + -3qrstx² + -5x² + x³ + -1y = 0 + -1x³ + x³ + y + -1y
-45iqrst + 9iqrstx + 15ix + -3ix² + 15qrstx + -3qrstx² + -5x² + x³ + -1y = -1x³ + x³ + y + -1y

Combine like terms: -1x³ + x³ = 0
-45iqrst + 9iqrstx + 15ix + -3ix² + 15qrstx + -3qrstx² + -5x² + x³ + -1y = 0 + y + -1y
-45iqrst + 9iqrstx + 15ix + -3ix² + 15qrstx + -3qrstx² + -5x² + x³ + -1y = y + -1y

Combine like terms: y + -1y = 0
-45iqrst + 9iqrstx + 15ix + -3ix² + 15qrstx + -3qrstx² + -5x² + x³ + -1y = 0

The solution to this equation could not be determined.

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(x-3i)(x^2-5x-x*sqrt(3)+5*sqrt(3))=y

Simple and best practice solution for (x-3i)(x^2-5x-x*sqrt(3)+5*sqrt(3))=y equation. Check how easy it is, and learn it for the future. Our solution is simple, and easy to understand, so don`t hesitate to use it as a solution of your homework.

Solution for (x-3i)(x^2-5x-x*sqrt(3)+5*sqrt(3))=y equation:

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(x-3i)(x^2-5x-xsqrt(3)+5sqrt(3))=y

Simple and best practice solution for (x-3i)(x^2-5x-xsqrt(3)+5sqrt(3))=y equation. Check how easy it is, and learn it for the future. Our solution is simple, and easy to understand, so don`t hesitate to use it as a solution of your homework.

Solution for (x-3i)(x^2-5x-xsqrt(3)+5sqrt(3))=y equation: