(x+5i)(x-5i)(x-1)=y

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Solution for (x+5i)(x-5i)(x-1)=y equation:


Simplifying
(x + 5i)(x + -5i)(x + -1) = y

Reorder the terms:
(5i + x)(x + -5i)(x + -1) = y

Reorder the terms:
(5i + x)(-5i + x)(x + -1) = y

Reorder the terms:
(5i + x)(-5i + x)(-1 + x) = y

Multiply (5i + x) * (-5i + x)
(5i * (-5i + x) + x(-5i + x))(-1 + x) = y
((-5i * 5i + x * 5i) + x(-5i + x))(-1 + x) = y

Reorder the terms:
((5ix + -25i2) + x(-5i + x))(-1 + x) = y
((5ix + -25i2) + x(-5i + x))(-1 + x) = y
(5ix + -25i2 + (-5i * x + x * x))(-1 + x) = y
(5ix + -25i2 + (-5ix + x2))(-1 + x) = y

Reorder the terms:
(5ix + -5ix + -25i2 + x2)(-1 + x) = y

Combine like terms: 5ix + -5ix = 0
(0 + -25i2 + x2)(-1 + x) = y
(-25i2 + x2)(-1 + x) = y

Multiply (-25i2 + x2) * (-1 + x)
(-25i2 * (-1 + x) + x2(-1 + x)) = y
((-1 * -25i2 + x * -25i2) + x2(-1 + x)) = y
((25i2 + -25i2x) + x2(-1 + x)) = y
(25i2 + -25i2x + (-1 * x2 + x * x2)) = y
(25i2 + -25i2x + (-1x2 + x3)) = y
(25i2 + -25i2x + -1x2 + x3) = y

Solving
25i2 + -25i2x + -1x2 + x3 = y

Solving for variable 'i'.

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

Add 'x2' to each side of the equation.
25i2 + -25i2x + -1x2 + x2 + x3 = x2 + y

Combine like terms: -1x2 + x2 = 0
25i2 + -25i2x + 0 + x3 = x2 + y
25i2 + -25i2x + x3 = x2 + y

Add '-1x3' to each side of the equation.
25i2 + -25i2x + x3 + -1x3 = x2 + -1x3 + y

Combine like terms: x3 + -1x3 = 0
25i2 + -25i2x + 0 = x2 + -1x3 + y
25i2 + -25i2x = x2 + -1x3 + y

Reorder the terms:
25i2 + -25i2x + -1x2 + x3 + -1y = x2 + -1x2 + -1x3 + x3 + y + -1y

Combine like terms: x2 + -1x2 = 0
25i2 + -25i2x + -1x2 + x3 + -1y = 0 + -1x3 + x3 + y + -1y
25i2 + -25i2x + -1x2 + x3 + -1y = -1x3 + x3 + y + -1y

Combine like terms: -1x3 + x3 = 0
25i2 + -25i2x + -1x2 + x3 + -1y = 0 + y + -1y
25i2 + -25i2x + -1x2 + x3 + -1y = y + -1y

Combine like terms: y + -1y = 0
25i2 + -25i2x + -1x2 + x3 + -1y = 0

The solution to this equation could not be determined.

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