x(x+4)(x-1)(x-3)+20=0

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Solution for x(x+4)(x-1)(x-3)+20=0 equation:


Simplifying
x(x + 4)(x + -1)(x + -3) + 20 = 0

Reorder the terms:
x(4 + x)(x + -1)(x + -3) + 20 = 0

Reorder the terms:
x(4 + x)(-1 + x)(x + -3) + 20 = 0

Reorder the terms:
x(4 + x)(-1 + x)(-3 + x) + 20 = 0

Multiply (4 + x) * (-1 + x)
x(4(-1 + x) + x(-1 + x))(-3 + x) + 20 = 0
x((-1 * 4 + x * 4) + x(-1 + x))(-3 + x) + 20 = 0
x((-4 + 4x) + x(-1 + x))(-3 + x) + 20 = 0
x(-4 + 4x + (-1 * x + x * x))(-3 + x) + 20 = 0
x(-4 + 4x + (-1x + x2))(-3 + x) + 20 = 0

Combine like terms: 4x + -1x = 3x
x(-4 + 3x + x2)(-3 + x) + 20 = 0

Multiply (-4 + 3x + x2) * (-3 + x)
x(-4(-3 + x) + 3x * (-3 + x) + x2(-3 + x)) + 20 = 0
x((-3 * -4 + x * -4) + 3x * (-3 + x) + x2(-3 + x)) + 20 = 0
x((12 + -4x) + 3x * (-3 + x) + x2(-3 + x)) + 20 = 0
x(12 + -4x + (-3 * 3x + x * 3x) + x2(-3 + x)) + 20 = 0
x(12 + -4x + (-9x + 3x2) + x2(-3 + x)) + 20 = 0
x(12 + -4x + -9x + 3x2 + (-3 * x2 + x * x2)) + 20 = 0
x(12 + -4x + -9x + 3x2 + (-3x2 + x3)) + 20 = 0

Combine like terms: -4x + -9x = -13x
x(12 + -13x + 3x2 + -3x2 + x3) + 20 = 0

Combine like terms: 3x2 + -3x2 = 0
x(12 + -13x + 0 + x3) + 20 = 0
x(12 + -13x + x3) + 20 = 0
(12 * x + -13x * x + x3 * x) + 20 = 0
(12x + -13x2 + x4) + 20 = 0

Reorder the terms:
20 + 12x + -13x2 + x4 = 0

Solving
20 + 12x + -13x2 + x4 = 0

Solving for variable 'x'.

The solution to this equation could not be determined.

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