(x+3)(x-4)(x-6)(x+5)=0

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Solution for (x+3)(x-4)(x-6)(x+5)=0 equation: 


Simplifying
(x + 3)(x + -4)(x + -6)(x + 5) = 0

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

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

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

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

Multiply (3 + x) * (-4 + x)
(3(-4 + x) + x(-4 + x))(-6 + x)(5 + x) = 0
((-4 * 3 + x * 3) + x(-4 + x))(-6 + x)(5 + x) = 0
((-12 + 3x) + x(-4 + x))(-6 + x)(5 + x) = 0
(-12 + 3x + (-4 * x + x * x))(-6 + x)(5 + x) = 0
(-12 + 3x + (-4x + x2))(-6 + x)(5 + x) = 0

Combine like terms: 3x + -4x = -1x
(-12 + -1x + x2)(-6 + x)(5 + x) = 0

Multiply (-12 + -1x + x2) * (-6 + x)
(-12(-6 + x) + -1x * (-6 + x) + x2(-6 + x))(5 + x) = 0
((-6 * -12 + x * -12) + -1x * (-6 + x) + x2(-6 + x))(5 + x) = 0
((72 + -12x) + -1x * (-6 + x) + x2(-6 + x))(5 + x) = 0
(72 + -12x + (-6 * -1x + x * -1x) + x2(-6 + x))(5 + x) = 0
(72 + -12x + (6x + -1x2) + x2(-6 + x))(5 + x) = 0
(72 + -12x + 6x + -1x2 + (-6 * x2 + x * x2))(5 + x) = 0
(72 + -12x + 6x + -1x2 + (-6x2 + x3))(5 + x) = 0

Combine like terms: -12x + 6x = -6x
(72 + -6x + -1x2 + -6x2 + x3)(5 + x) = 0

Combine like terms: -1x2 + -6x2 = -7x2
(72 + -6x + -7x2 + x3)(5 + x) = 0

Multiply (72 + -6x + -7x2 + x3) * (5 + x)
(72(5 + x) + -6x * (5 + x) + -7x2 * (5 + x) + x3(5 + x)) = 0
((5 * 72 + x * 72) + -6x * (5 + x) + -7x2 * (5 + x) + x3(5 + x)) = 0
((360 + 72x) + -6x * (5 + x) + -7x2 * (5 + x) + x3(5 + x)) = 0
(360 + 72x + (5 * -6x + x * -6x) + -7x2 * (5 + x) + x3(5 + x)) = 0
(360 + 72x + (-30x + -6x2) + -7x2 * (5 + x) + x3(5 + x)) = 0
(360 + 72x + -30x + -6x2 + (5 * -7x2 + x * -7x2) + x3(5 + x)) = 0
(360 + 72x + -30x + -6x2 + (-35x2 + -7x3) + x3(5 + x)) = 0
(360 + 72x + -30x + -6x2 + -35x2 + -7x3 + (5 * x3 + x * x3)) = 0
(360 + 72x + -30x + -6x2 + -35x2 + -7x3 + (5x3 + x4)) = 0

Combine like terms: 72x + -30x = 42x
(360 + 42x + -6x2 + -35x2 + -7x3 + 5x3 + x4) = 0

Combine like terms: -6x2 + -35x2 = -41x2
(360 + 42x + -41x2 + -7x3 + 5x3 + x4) = 0

Combine like terms: -7x3 + 5x3 = -2x3
(360 + 42x + -41x2 + -2x3 + x4) = 0

Solving
360 + 42x + -41x2 + -2x3 + x4 = 0

Solving for variable 'x'.

The solution to this equation could not be determined.

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