(x+6)(x+5)(x+4)(x-4)=0

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Solution for (x+6)(x+5)(x+4)(x-4)=0 equation: 


Simplifying
(x + 6)(x + 5)(x + 4)(x + -4) = 0

Reorder the terms:
(6 + x)(x + 5)(x + 4)(x + -4) = 0

Reorder the terms:
(6 + x)(5 + x)(x + 4)(x + -4) = 0

Reorder the terms:
(6 + x)(5 + x)(4 + x)(x + -4) = 0

Reorder the terms:
(6 + x)(5 + x)(4 + x)(-4 + x) = 0

Multiply (6 + x) * (5 + x)
(6(5 + x) + x(5 + x))(4 + x)(-4 + x) = 0
((5 * 6 + x * 6) + x(5 + x))(4 + x)(-4 + x) = 0
((30 + 6x) + x(5 + x))(4 + x)(-4 + x) = 0
(30 + 6x + (5 * x + x * x))(4 + x)(-4 + x) = 0
(30 + 6x + (5x + x2))(4 + x)(-4 + x) = 0

Combine like terms: 6x + 5x = 11x
(30 + 11x + x2)(4 + x)(-4 + x) = 0

Multiply (30 + 11x + x2) * (4 + x)
(30(4 + x) + 11x * (4 + x) + x2(4 + x))(-4 + x) = 0
((4 * 30 + x * 30) + 11x * (4 + x) + x2(4 + x))(-4 + x) = 0
((120 + 30x) + 11x * (4 + x) + x2(4 + x))(-4 + x) = 0
(120 + 30x + (4 * 11x + x * 11x) + x2(4 + x))(-4 + x) = 0
(120 + 30x + (44x + 11x2) + x2(4 + x))(-4 + x) = 0
(120 + 30x + 44x + 11x2 + (4 * x2 + x * x2))(-4 + x) = 0
(120 + 30x + 44x + 11x2 + (4x2 + x3))(-4 + x) = 0

Combine like terms: 30x + 44x = 74x
(120 + 74x + 11x2 + 4x2 + x3)(-4 + x) = 0

Combine like terms: 11x2 + 4x2 = 15x2
(120 + 74x + 15x2 + x3)(-4 + x) = 0

Multiply (120 + 74x + 15x2 + x3) * (-4 + x)
(120(-4 + x) + 74x * (-4 + x) + 15x2 * (-4 + x) + x3(-4 + x)) = 0
((-4 * 120 + x * 120) + 74x * (-4 + x) + 15x2 * (-4 + x) + x3(-4 + x)) = 0
((-480 + 120x) + 74x * (-4 + x) + 15x2 * (-4 + x) + x3(-4 + x)) = 0
(-480 + 120x + (-4 * 74x + x * 74x) + 15x2 * (-4 + x) + x3(-4 + x)) = 0
(-480 + 120x + (-296x + 74x2) + 15x2 * (-4 + x) + x3(-4 + x)) = 0
(-480 + 120x + -296x + 74x2 + (-4 * 15x2 + x * 15x2) + x3(-4 + x)) = 0
(-480 + 120x + -296x + 74x2 + (-60x2 + 15x3) + x3(-4 + x)) = 0
(-480 + 120x + -296x + 74x2 + -60x2 + 15x3 + (-4 * x3 + x * x3)) = 0
(-480 + 120x + -296x + 74x2 + -60x2 + 15x3 + (-4x3 + x4)) = 0

Combine like terms: 120x + -296x = -176x
(-480 + -176x + 74x2 + -60x2 + 15x3 + -4x3 + x4) = 0

Combine like terms: 74x2 + -60x2 = 14x2
(-480 + -176x + 14x2 + 15x3 + -4x3 + x4) = 0

Combine like terms: 15x3 + -4x3 = 11x3
(-480 + -176x + 14x2 + 11x3 + x4) = 0

Solving
-480 + -176x + 14x2 + 11x3 + x4 = 0

Solving for variable 'x'.

The solution to this equation could not be determined.

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