y=(x+5)(x+5)[x-(-2-5i)][x-(-2+5i)]

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Solution for y=(x+5)(x+5)[x-(-2-5i)][x-(-2+5i)] equation: 


Simplifying
y = (x + 5)(x + 5)[x + -1(-2 + -5i)][x + -1(-2 + 5i)]

Reorder the terms:
y = (5 + x)(x + 5)[x + -1(-2 + -5i)][x + -1(-2 + 5i)]

Reorder the terms:
y = (5 + x)(5 + x)[x + -1(-2 + -5i)][x + -1(-2 + 5i)]
y = (5 + x)(5 + x)[x + (-2 * -1 + -5i * -1)][x + -1(-2 + 5i)]
y = (5 + x)(5 + x)[x + (2 + 5i)][x + -1(-2 + 5i)]

Reorder the terms:
y = (5 + x)(5 + x)[2 + 5i + x][x + -1(-2 + 5i)]
y = (5 + x)(5 + x)[2 + 5i + x][x + (-2 * -1 + 5i * -1)]
y = (5 + x)(5 + x)[2 + 5i + x][x + (2 + -5i)]

Reorder the terms:
y = (5 + x)(5 + x)[2 + 5i + x][2 + -5i + x]

Multiply (5 + x) * (5 + x)
y = (5(5 + x) + x(5 + x))[2 + 5i + x][2 + -5i + x]
y = ((5 * 5 + x * 5) + x(5 + x))[2 + 5i + x][2 + -5i + x]
y = ((25 + 5x) + x(5 + x))[2 + 5i + x][2 + -5i + x]
y = (25 + 5x + (5 * x + x * x))[2 + 5i + x][2 + -5i + x]
y = (25 + 5x + (5x + x2))[2 + 5i + x][2 + -5i + x]

Combine like terms: 5x + 5x = 10x
y = (25 + 10x + x2)[2 + 5i + x][2 + -5i + x]

Multiply (25 + 10x + x2) * [2 + 5i + x]
y = (25[2 + 5i + x] + 10x * [2 + 5i + x] + x2[2 + 5i + x])[2 + -5i + x]
y = ([2 * 25 + 5i * 25 + x * 25] + 10x * [2 + 5i + x] + x2[2 + 5i + x])[2 + -5i + x]
y = ([50 + 125i + 25x] + 10x * [2 + 5i + x] + x2[2 + 5i + x])[2 + -5i + x]
y = (50 + 125i + 25x + [2 * 10x + 5i * 10x + x * 10x] + x2[2 + 5i + x])[2 + -5i + x]

Reorder the terms:
y = (50 + 125i + 25x + [50ix + 20x + 10x2] + x2[2 + 5i + x])[2 + -5i + x]
y = (50 + 125i + 25x + [50ix + 20x + 10x2] + x2[2 + 5i + x])[2 + -5i + x]
y = (50 + 125i + 25x + 50ix + 20x + 10x2 + [2 * x2 + 5i * x2 + x * x2])[2 + -5i + x]

Reorder the terms:
y = (50 + 125i + 25x + 50ix + 20x + 10x2 + [5ix2 + 2x2 + x3])[2 + -5i + x]
y = (50 + 125i + 25x + 50ix + 20x + 10x2 + [5ix2 + 2x2 + x3])[2 + -5i + x]

Reorder the terms:
y = (50 + 125i + 50ix + 5ix2 + 25x + 20x + 10x2 + 2x2 + x3)[2 + -5i + x]

Combine like terms: 25x + 20x = 45x
y = (50 + 125i + 50ix + 5ix2 + 45x + 10x2 + 2x2 + x3)[2 + -5i + x]

Combine like terms: 10x2 + 2x2 = 12x2
y = (50 + 125i + 50ix + 5ix2 + 45x + 12x2 + x3)[2 + -5i + x]

Multiply (50 + 125i + 50ix + 5ix2 + 45x + 12x2 + x3) * [2 + -5i + x]
y = (50[2 + -5i + x] + 125i * [2 + -5i + x] + 50ix * [2 + -5i + x] + 5ix2 * [2 + -5i + x] + 45x * [2 + -5i + x] + 12x2 * [2 + -5i + x] + x3[2 + -5i + x])
y = ([2 * 50 + -5i * 50 + x * 50] + 125i * [2 + -5i + x] + 50ix * [2 + -5i + x] + 5ix2 * [2 + -5i + x] + 45x * [2 + -5i + x] + 12x2 * [2 + -5i + x] + x3[2 + -5i + x])
y = ([100 + -250i + 50x] + 125i * [2 + -5i + x] + 50ix * [2 + -5i + x] + 5ix2 * [2 + -5i + x] + 45x * [2 + -5i + x] + 12x2 * [2 + -5i + x] + x3[2 + -5i + x])
y = (100 + -250i + 50x + [2 * 125i + -5i * 125i + x * 125i] + 50ix * [2 + -5i + x] + 5ix2 * [2 + -5i + x] + 45x * [2 + -5i + x] + 12x2 * [2 + -5i + x] + x3[2 + -5i + x])

Reorder the terms:
y = (100 + -250i + 50x + [250i + 125ix + -625i2] + 50ix * [2 + -5i + x] + 5ix2 * [2 + -5i + x] + 45x * [2 + -5i + x] + 12x2 * [2 + -5i + x] + x3[2 + -5i + x])
y = (100 + -250i + 50x + [250i + 125ix + -625i2] + 50ix * [2 + -5i + x] + 5ix2 * [2 + -5i + x] + 45x * [2 + -5i + x] + 12x2 * [2 + -5i + x] + x3[2 + -5i + x])
y = (100 + -250i + 50x + 250i + 125ix + -625i2 + [2 * 50ix + -5i * 50ix + x * 50ix] + 5ix2 * [2 + -5i + x] + 45x * [2 + -5i + x] + 12x2 * [2 + -5i + x] + x3[2 + -5i + x])

Reorder the terms:
y = (100 + -250i + 50x + 250i + 125ix + -625i2 + [100ix + 50ix2 + -250i2x] + 5ix2 * [2 + -5i + x] + 45x * [2 + -5i + x] + 12x2 * [2 + -5i + x] + x3[2 + -5i + x])
y = (100 + -250i + 50x + 250i + 125ix + -625i2 + [100ix + 50ix2 + -250i2x] + 5ix2 * [2 + -5i + x] + 45x * [2 + -5i + x] + 12x2 * [2 + -5i + x] + x3[2 + -5i + x])
y = (100 + -250i + 50x + 250i + 125ix + -625i2 + 100ix + 50ix2 + -250i2x + [2 * 5ix2 + -5i * 5ix2 + x * 5ix2] + 45x * [2 + -5i + x] + 12x2 * [2 + -5i + x] + x3[2 + -5i + x])

Reorder the terms:
y = (100 + -250i + 50x + 250i + 125ix + -625i2 + 100ix + 50ix2 + -250i2x + [10ix2 + 5ix3 + -25i2x2] + 45x * [2 + -5i + x] + 12x2 * [2 + -5i + x] + x3[2 + -5i + x])
y = (100 + -250i + 50x + 250i + 125ix + -625i2 + 100ix + 50ix2 + -250i2x + [10ix2 + 5ix3 + -25i2x2] + 45x * [2 + -5i + x] + 12x2 * [2 + -5i + x] + x3[2 + -5i + x])
y = (100 + -250i + 50x + 250i + 125ix + -625i2 + 100ix + 50ix2 + -250i2x + 10ix2 + 5ix3 + -25i2x2 + [2 * 45x + -5i * 45x + x * 45x] + 12x2 * [2 + -5i + x] + x3[2 + -5i + x])

Reorder the terms:
y = (100 + -250i + 50x + 250i + 125ix + -625i2 + 100ix + 50ix2 + -250i2x + 10ix2 + 5ix3 + -25i2x2 + [-225ix + 90x + 45x2] + 12x2 * [2 + -5i + x] + x3[2 + -5i + x])
y = (100 + -250i + 50x + 250i + 125ix + -625i2 + 100ix + 50ix2 + -250i2x + 10ix2 + 5ix3 + -25i2x2 + [-225ix + 90x + 45x2] + 12x2 * [2 + -5i + x] + x3[2 + -5i + x])
y = (100 + -250i + 50x + 250i + 125ix + -625i2 + 100ix + 50ix2 + -250i2x + 10ix2 + 5ix3 + -25i2x2 + -225ix + 90x + 45x2 + [2 * 12x2 + -5i * 12x2 + x * 12x2] + x3[2 + -5i + x])

Reorder the terms:
y = (100 + -250i + 50x + 250i + 125ix + -625i2 + 100ix + 50ix2 + -250i2x + 10ix2 + 5ix3 + -25i2x2 + -225ix + 90x + 45x2 + [-60ix2 + 24x2 + 12x3] + x3[2 + -5i + x])
y = (100 + -250i + 50x + 250i + 125ix + -625i2 + 100ix + 50ix2 + -250i2x + 10ix2 + 5ix3 + -25i2x2 + -225ix + 90x + 45x2 + [-60ix2 + 24x2 + 12x3] + x3[2 + -5i + x])
y = (100 + -250i + 50x + 250i + 125ix + -625i2 + 100ix + 50ix2 + -250i2x + 10ix2 + 5ix3 + -25i2x2 + -225ix + 90x + 45x2 + -60ix2 + 24x2 + 12x3 + [2 * x3 + -5i * x3 + x * x3])

Reorder the terms:
y = (100 + -250i + 50x + 250i + 125ix + -625i2 + 100ix + 50ix2 + -250i2x + 10ix2 + 5ix3 + -25i2x2 + -225ix + 90x + 45x2 + -60ix2 + 24x2 + 12x3 + [-5ix3 + 2x3 + x4])
y = (100 + -250i + 50x + 250i + 125ix + -625i2 + 100ix + 50ix2 + -250i2x + 10ix2 + 5ix3 + -25i2x2 + -225ix + 90x + 45x2 + -60ix2 + 24x2 + 12x3 + [-5ix3 + 2x3 + x4])

Reorder the terms:
y = (100 + -250i + 250i + 125ix + 100ix + -225ix + 50ix2 + 10ix2 + -60ix2 + 5ix3 + -5ix3 + -625i2 + -250i2x + -25i2x2 + 50x + 90x + 45x2 + 24x2 + 12x3 + 2x3 + x4)

Combine like terms: -250i + 250i = 0
y = (100 + 0 + 125ix + 100ix + -225ix + 50ix2 + 10ix2 + -60ix2 + 5ix3 + -5ix3 + -625i2 + -250i2x + -25i2x2 + 50x + 90x + 45x2 + 24x2 + 12x3 + 2x3 + x4)
y = (100 + 125ix + 100ix + -225ix + 50ix2 + 10ix2 + -60ix2 + 5ix3 + -5ix3 + -625i2 + -250i2x + -25i2x2 + 50x + 90x + 45x2 + 24x2 + 12x3 + 2x3 + x4)

Combine like terms: 125ix + 100ix = 225ix
y = (100 + 225ix + -225ix + 50ix2 + 10ix2 + -60ix2 + 5ix3 + -5ix3 + -625i2 + -250i2x + -25i2x2 + 50x + 90x + 45x2 + 24x2 + 12x3 + 2x3 + x4)

Combine like terms: 225ix + -225ix = 0
y = (100 + 0 + 50ix2 + 10ix2 + -60ix2 + 5ix3 + -5ix3 + -625i2 + -250i2x + -25i2x2 + 50x + 90x + 45x2 + 24x2 + 12x3 + 2x3 + x4)
y = (100 + 50ix2 + 10ix2 + -60ix2 + 5ix3 + -5ix3 + -625i2 + -250i2x + -25i2x2 + 50x + 90x + 45x2 + 24x2 + 12x3 + 2x3 + x4)

Combine like terms: 50ix2 + 10ix2 = 60ix2
y = (100 + 60ix2 + -60ix2 + 5ix3 + -5ix3 + -625i2 + -250i2x + -25i2x2 + 50x + 90x + 45x2 + 24x2 + 12x3 + 2x3 + x4)

Combine like terms: 60ix2 + -60ix2 = 0
y = (100 + 0 + 5ix3 + -5ix3 + -625i2 + -250i2x + -25i2x2 + 50x + 90x + 45x2 + 24x2 + 12x3 + 2x3 + x4)
y = (100 + 5ix3 + -5ix3 + -625i2 + -250i2x + -25i2x2 + 50x + 90x + 45x2 + 24x2 + 12x3 + 2x3 + x4)

Combine like terms: 5ix3 + -5ix3 = 0
y = (100 + 0 + -625i2 + -250i2x + -25i2x2 + 50x + 90x + 45x2 + 24x2 + 12x3 + 2x3 + x4)
y = (100 + -625i2 + -250i2x + -25i2x2 + 50x + 90x + 45x2 + 24x2 + 12x3 + 2x3 + x4)

Combine like terms: 50x + 90x = 140x
y = (100 + -625i2 + -250i2x + -25i2x2 + 140x + 45x2 + 24x2 + 12x3 + 2x3 + x4)

Combine like terms: 45x2 + 24x2 = 69x2
y = (100 + -625i2 + -250i2x + -25i2x2 + 140x + 69x2 + 12x3 + 2x3 + x4)

Combine like terms: 12x3 + 2x3 = 14x3
y = (100 + -625i2 + -250i2x + -25i2x2 + 140x + 69x2 + 14x3 + x4)

Solving
y = 100 + -625i2 + -250i2x + -25i2x2 + 140x + 69x2 + 14x3 + x4

Solving for variable 'y'.

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

Simplifying
y = 100 + -625i2 + -250i2x + -25i2x2 + 140x + 69x2 + 14x3 + x4

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