y=A(x+3)(x-4+5i)(x-4-5i)

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Solution for y=A(x+3)(x-4+5i)(x-4-5i) equation: 


Simplifying
y = A(x + 3)(x + -4 + 5i)(x + -4 + -5i)

Reorder the terms:
y = A(3 + x)(x + -4 + 5i)(x + -4 + -5i)

Reorder the terms:
y = A(3 + x)(-4 + 5i + x)(x + -4 + -5i)

Reorder the terms:
y = A(3 + x)(-4 + 5i + x)(-4 + -5i + x)

Multiply (3 + x) * (-4 + 5i + x)
y = A(3(-4 + 5i + x) + x(-4 + 5i + x))(-4 + -5i + x)
y = A((-4 * 3 + 5i * 3 + x * 3) + x(-4 + 5i + x))(-4 + -5i + x)
y = A((-12 + 15i + 3x) + x(-4 + 5i + x))(-4 + -5i + x)
y = A(-12 + 15i + 3x + (-4 * x + 5i * x + x * x))(-4 + -5i + x)

Reorder the terms:
y = A(-12 + 15i + 3x + (5ix + -4x + x2))(-4 + -5i + x)
y = A(-12 + 15i + 3x + (5ix + -4x + x2))(-4 + -5i + x)

Reorder the terms:
y = A(-12 + 15i + 5ix + 3x + -4x + x2)(-4 + -5i + x)

Combine like terms: 3x + -4x = -1x
y = A(-12 + 15i + 5ix + -1x + x2)(-4 + -5i + x)

Multiply (-12 + 15i + 5ix + -1x + x2) * (-4 + -5i + x)
y = A(-12(-4 + -5i + x) + 15i * (-4 + -5i + x) + 5ix * (-4 + -5i + x) + -1x * (-4 + -5i + x) + x2(-4 + -5i + x))
y = A((-4 * -12 + -5i * -12 + x * -12) + 15i * (-4 + -5i + x) + 5ix * (-4 + -5i + x) + -1x * (-4 + -5i + x) + x2(-4 + -5i + x))
y = A((48 + 60i + -12x) + 15i * (-4 + -5i + x) + 5ix * (-4 + -5i + x) + -1x * (-4 + -5i + x) + x2(-4 + -5i + x))
y = A(48 + 60i + -12x + (-4 * 15i + -5i * 15i + x * 15i) + 5ix * (-4 + -5i + x) + -1x * (-4 + -5i + x) + x2(-4 + -5i + x))

Reorder the terms:
y = A(48 + 60i + -12x + (-60i + 15ix + -75i2) + 5ix * (-4 + -5i + x) + -1x * (-4 + -5i + x) + x2(-4 + -5i + x))
y = A(48 + 60i + -12x + (-60i + 15ix + -75i2) + 5ix * (-4 + -5i + x) + -1x * (-4 + -5i + x) + x2(-4 + -5i + x))
y = A(48 + 60i + -12x + -60i + 15ix + -75i2 + (-4 * 5ix + -5i * 5ix + x * 5ix) + -1x * (-4 + -5i + x) + x2(-4 + -5i + x))

Reorder the terms:
y = A(48 + 60i + -12x + -60i + 15ix + -75i2 + (-20ix + 5ix2 + -25i2x) + -1x * (-4 + -5i + x) + x2(-4 + -5i + x))
y = A(48 + 60i + -12x + -60i + 15ix + -75i2 + (-20ix + 5ix2 + -25i2x) + -1x * (-4 + -5i + x) + x2(-4 + -5i + x))
y = A(48 + 60i + -12x + -60i + 15ix + -75i2 + -20ix + 5ix2 + -25i2x + (-4 * -1x + -5i * -1x + x * -1x) + x2(-4 + -5i + x))

Reorder the terms:
y = A(48 + 60i + -12x + -60i + 15ix + -75i2 + -20ix + 5ix2 + -25i2x + (5ix + 4x + -1x2) + x2(-4 + -5i + x))
y = A(48 + 60i + -12x + -60i + 15ix + -75i2 + -20ix + 5ix2 + -25i2x + (5ix + 4x + -1x2) + x2(-4 + -5i + x))
y = A(48 + 60i + -12x + -60i + 15ix + -75i2 + -20ix + 5ix2 + -25i2x + 5ix + 4x + -1x2 + (-4 * x2 + -5i * x2 + x * x2))

Reorder the terms:
y = A(48 + 60i + -12x + -60i + 15ix + -75i2 + -20ix + 5ix2 + -25i2x + 5ix + 4x + -1x2 + (-5ix2 + -4x2 + x3))
y = A(48 + 60i + -12x + -60i + 15ix + -75i2 + -20ix + 5ix2 + -25i2x + 5ix + 4x + -1x2 + (-5ix2 + -4x2 + x3))

Reorder the terms:
y = A(48 + 60i + -60i + 15ix + -20ix + 5ix + 5ix2 + -5ix2 + -75i2 + -25i2x + -12x + 4x + -1x2 + -4x2 + x3)

Combine like terms: 60i + -60i = 0
y = A(48 + 0 + 15ix + -20ix + 5ix + 5ix2 + -5ix2 + -75i2 + -25i2x + -12x + 4x + -1x2 + -4x2 + x3)
y = A(48 + 15ix + -20ix + 5ix + 5ix2 + -5ix2 + -75i2 + -25i2x + -12x + 4x + -1x2 + -4x2 + x3)

Combine like terms: 15ix + -20ix = -5ix
y = A(48 + -5ix + 5ix + 5ix2 + -5ix2 + -75i2 + -25i2x + -12x + 4x + -1x2 + -4x2 + x3)

Combine like terms: -5ix + 5ix = 0
y = A(48 + 0 + 5ix2 + -5ix2 + -75i2 + -25i2x + -12x + 4x + -1x2 + -4x2 + x3)
y = A(48 + 5ix2 + -5ix2 + -75i2 + -25i2x + -12x + 4x + -1x2 + -4x2 + x3)

Combine like terms: 5ix2 + -5ix2 = 0
y = A(48 + 0 + -75i2 + -25i2x + -12x + 4x + -1x2 + -4x2 + x3)
y = A(48 + -75i2 + -25i2x + -12x + 4x + -1x2 + -4x2 + x3)

Combine like terms: -12x + 4x = -8x
y = A(48 + -75i2 + -25i2x + -8x + -1x2 + -4x2 + x3)

Combine like terms: -1x2 + -4x2 = -5x2
y = A(48 + -75i2 + -25i2x + -8x + -5x2 + x3)
y = (48 * A + -75i2 * A + -25i2x * A + -8x * A + -5x2 * A + x3 * A)
y = (48A + -75i2A + -25i2xA + -8xA + -5x2A + x3A)

Solving
y = 48A + -75i2A + -25i2xA + -8xA + -5x2A + x3A

Solving for variable 'y'.

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

Simplifying
y = 48A + -75i2A + -25i2xA + -8xA + -5x2A + x3A

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