Y=-(x+2)(x-3)(x+8)(3x+20)

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Solution for Y=-(x+2)(x-3)(x+8)(3x+20) equation: 


Simplifying
Y = -1(x + 2)(x + -3)(x + 8)(3x + 20)

Reorder the terms:
Y = -1(2 + x)(x + -3)(x + 8)(3x + 20)

Reorder the terms:
Y = -1(2 + x)(-3 + x)(x + 8)(3x + 20)

Reorder the terms:
Y = -1(2 + x)(-3 + x)(8 + x)(3x + 20)

Reorder the terms:
Y = -1(2 + x)(-3 + x)(8 + x)(20 + 3x)

Multiply (2 + x) * (-3 + x)
Y = -1(2(-3 + x) + x(-3 + x))(8 + x)(20 + 3x)
Y = -1((-3 * 2 + x * 2) + x(-3 + x))(8 + x)(20 + 3x)
Y = -1((-6 + 2x) + x(-3 + x))(8 + x)(20 + 3x)
Y = -1(-6 + 2x + (-3 * x + x * x))(8 + x)(20 + 3x)
Y = -1(-6 + 2x + (-3x + x2))(8 + x)(20 + 3x)

Combine like terms: 2x + -3x = -1x
Y = -1(-6 + -1x + x2)(8 + x)(20 + 3x)

Multiply (-6 + -1x + x2) * (8 + x)
Y = -1(-6(8 + x) + -1x * (8 + x) + x2(8 + x))(20 + 3x)
Y = -1((8 * -6 + x * -6) + -1x * (8 + x) + x2(8 + x))(20 + 3x)
Y = -1((-48 + -6x) + -1x * (8 + x) + x2(8 + x))(20 + 3x)
Y = -1(-48 + -6x + (8 * -1x + x * -1x) + x2(8 + x))(20 + 3x)
Y = -1(-48 + -6x + (-8x + -1x2) + x2(8 + x))(20 + 3x)
Y = -1(-48 + -6x + -8x + -1x2 + (8 * x2 + x * x2))(20 + 3x)
Y = -1(-48 + -6x + -8x + -1x2 + (8x2 + x3))(20 + 3x)

Combine like terms: -6x + -8x = -14x
Y = -1(-48 + -14x + -1x2 + 8x2 + x3)(20 + 3x)

Combine like terms: -1x2 + 8x2 = 7x2
Y = -1(-48 + -14x + 7x2 + x3)(20 + 3x)

Multiply (-48 + -14x + 7x2 + x3) * (20 + 3x)
Y = -1(-48(20 + 3x) + -14x * (20 + 3x) + 7x2 * (20 + 3x) + x3(20 + 3x))
Y = -1((20 * -48 + 3x * -48) + -14x * (20 + 3x) + 7x2 * (20 + 3x) + x3(20 + 3x))
Y = -1((-960 + -144x) + -14x * (20 + 3x) + 7x2 * (20 + 3x) + x3(20 + 3x))
Y = -1(-960 + -144x + (20 * -14x + 3x * -14x) + 7x2 * (20 + 3x) + x3(20 + 3x))
Y = -1(-960 + -144x + (-280x + -42x2) + 7x2 * (20 + 3x) + x3(20 + 3x))
Y = -1(-960 + -144x + -280x + -42x2 + (20 * 7x2 + 3x * 7x2) + x3(20 + 3x))
Y = -1(-960 + -144x + -280x + -42x2 + (140x2 + 21x3) + x3(20 + 3x))
Y = -1(-960 + -144x + -280x + -42x2 + 140x2 + 21x3 + (20 * x3 + 3x * x3))
Y = -1(-960 + -144x + -280x + -42x2 + 140x2 + 21x3 + (20x3 + 3x4))

Combine like terms: -144x + -280x = -424x
Y = -1(-960 + -424x + -42x2 + 140x2 + 21x3 + 20x3 + 3x4)

Combine like terms: -42x2 + 140x2 = 98x2
Y = -1(-960 + -424x + 98x2 + 21x3 + 20x3 + 3x4)

Combine like terms: 21x3 + 20x3 = 41x3
Y = -1(-960 + -424x + 98x2 + 41x3 + 3x4)
Y = (-960 * -1 + -424x * -1 + 98x2 * -1 + 41x3 * -1 + 3x4 * -1)
Y = (960 + 424x + -98x2 + -41x3 + -3x4)

Solving
Y = 960 + 424x + -98x2 + -41x3 + -3x4

Solving for variable 'Y'.

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

Simplifying
Y = 960 + 424x + -98x2 + -41x3 + -3x4

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