(x-2)(3x+4)(x+5)(x-6)=0

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Solution for (x-2)(3x+4)(x+5)(x-6)=0 equation: 


Simplifying
(x + -2)(3x + 4)(x + 5)(x + -6) = 0

Reorder the terms:
(-2 + x)(3x + 4)(x + 5)(x + -6) = 0

Reorder the terms:
(-2 + x)(4 + 3x)(x + 5)(x + -6) = 0

Reorder the terms:
(-2 + x)(4 + 3x)(5 + x)(x + -6) = 0

Reorder the terms:
(-2 + x)(4 + 3x)(5 + x)(-6 + x) = 0

Multiply (-2 + x) * (4 + 3x)
(-2(4 + 3x) + x(4 + 3x))(5 + x)(-6 + x) = 0
((4 * -2 + 3x * -2) + x(4 + 3x))(5 + x)(-6 + x) = 0
((-8 + -6x) + x(4 + 3x))(5 + x)(-6 + x) = 0
(-8 + -6x + (4 * x + 3x * x))(5 + x)(-6 + x) = 0
(-8 + -6x + (4x + 3x2))(5 + x)(-6 + x) = 0

Combine like terms: -6x + 4x = -2x
(-8 + -2x + 3x2)(5 + x)(-6 + x) = 0

Multiply (-8 + -2x + 3x2) * (5 + x)
(-8(5 + x) + -2x * (5 + x) + 3x2 * (5 + x))(-6 + x) = 0
((5 * -8 + x * -8) + -2x * (5 + x) + 3x2 * (5 + x))(-6 + x) = 0
((-40 + -8x) + -2x * (5 + x) + 3x2 * (5 + x))(-6 + x) = 0
(-40 + -8x + (5 * -2x + x * -2x) + 3x2 * (5 + x))(-6 + x) = 0
(-40 + -8x + (-10x + -2x2) + 3x2 * (5 + x))(-6 + x) = 0
(-40 + -8x + -10x + -2x2 + (5 * 3x2 + x * 3x2))(-6 + x) = 0
(-40 + -8x + -10x + -2x2 + (15x2 + 3x3))(-6 + x) = 0

Combine like terms: -8x + -10x = -18x
(-40 + -18x + -2x2 + 15x2 + 3x3)(-6 + x) = 0

Combine like terms: -2x2 + 15x2 = 13x2
(-40 + -18x + 13x2 + 3x3)(-6 + x) = 0

Multiply (-40 + -18x + 13x2 + 3x3) * (-6 + x)
(-40(-6 + x) + -18x * (-6 + x) + 13x2 * (-6 + x) + 3x3 * (-6 + x)) = 0
((-6 * -40 + x * -40) + -18x * (-6 + x) + 13x2 * (-6 + x) + 3x3 * (-6 + x)) = 0
((240 + -40x) + -18x * (-6 + x) + 13x2 * (-6 + x) + 3x3 * (-6 + x)) = 0
(240 + -40x + (-6 * -18x + x * -18x) + 13x2 * (-6 + x) + 3x3 * (-6 + x)) = 0
(240 + -40x + (108x + -18x2) + 13x2 * (-6 + x) + 3x3 * (-6 + x)) = 0
(240 + -40x + 108x + -18x2 + (-6 * 13x2 + x * 13x2) + 3x3 * (-6 + x)) = 0
(240 + -40x + 108x + -18x2 + (-78x2 + 13x3) + 3x3 * (-6 + x)) = 0
(240 + -40x + 108x + -18x2 + -78x2 + 13x3 + (-6 * 3x3 + x * 3x3)) = 0
(240 + -40x + 108x + -18x2 + -78x2 + 13x3 + (-18x3 + 3x4)) = 0

Combine like terms: -40x + 108x = 68x
(240 + 68x + -18x2 + -78x2 + 13x3 + -18x3 + 3x4) = 0

Combine like terms: -18x2 + -78x2 = -96x2
(240 + 68x + -96x2 + 13x3 + -18x3 + 3x4) = 0

Combine like terms: 13x3 + -18x3 = -5x3
(240 + 68x + -96x2 + -5x3 + 3x4) = 0

Solving
240 + 68x + -96x2 + -5x3 + 3x4 = 0

Solving for variable 'x'.

The solution to this equation could not be determined.

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