(x+6)(x+6)(x-8)(4x-5)=0

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Solution for (x+6)(x+6)(x-8)(4x-5)=0 equation: 


Simplifying
(x + 6)(x + 6)(x + -8)(4x + -5) = 0

Reorder the terms:
(6 + x)(x + 6)(x + -8)(4x + -5) = 0

Reorder the terms:
(6 + x)(6 + x)(x + -8)(4x + -5) = 0

Reorder the terms:
(6 + x)(6 + x)(-8 + x)(4x + -5) = 0

Reorder the terms:
(6 + x)(6 + x)(-8 + x)(-5 + 4x) = 0

Multiply (6 + x) * (6 + x)
(6(6 + x) + x(6 + x))(-8 + x)(-5 + 4x) = 0
((6 * 6 + x * 6) + x(6 + x))(-8 + x)(-5 + 4x) = 0
((36 + 6x) + x(6 + x))(-8 + x)(-5 + 4x) = 0
(36 + 6x + (6 * x + x * x))(-8 + x)(-5 + 4x) = 0
(36 + 6x + (6x + x2))(-8 + x)(-5 + 4x) = 0

Combine like terms: 6x + 6x = 12x
(36 + 12x + x2)(-8 + x)(-5 + 4x) = 0

Multiply (36 + 12x + x2) * (-8 + x)
(36(-8 + x) + 12x * (-8 + x) + x2(-8 + x))(-5 + 4x) = 0
((-8 * 36 + x * 36) + 12x * (-8 + x) + x2(-8 + x))(-5 + 4x) = 0
((-288 + 36x) + 12x * (-8 + x) + x2(-8 + x))(-5 + 4x) = 0
(-288 + 36x + (-8 * 12x + x * 12x) + x2(-8 + x))(-5 + 4x) = 0
(-288 + 36x + (-96x + 12x2) + x2(-8 + x))(-5 + 4x) = 0
(-288 + 36x + -96x + 12x2 + (-8 * x2 + x * x2))(-5 + 4x) = 0
(-288 + 36x + -96x + 12x2 + (-8x2 + x3))(-5 + 4x) = 0

Combine like terms: 36x + -96x = -60x
(-288 + -60x + 12x2 + -8x2 + x3)(-5 + 4x) = 0

Combine like terms: 12x2 + -8x2 = 4x2
(-288 + -60x + 4x2 + x3)(-5 + 4x) = 0

Multiply (-288 + -60x + 4x2 + x3) * (-5 + 4x)
(-288(-5 + 4x) + -60x * (-5 + 4x) + 4x2 * (-5 + 4x) + x3(-5 + 4x)) = 0
((-5 * -288 + 4x * -288) + -60x * (-5 + 4x) + 4x2 * (-5 + 4x) + x3(-5 + 4x)) = 0
((1440 + -1152x) + -60x * (-5 + 4x) + 4x2 * (-5 + 4x) + x3(-5 + 4x)) = 0
(1440 + -1152x + (-5 * -60x + 4x * -60x) + 4x2 * (-5 + 4x) + x3(-5 + 4x)) = 0
(1440 + -1152x + (300x + -240x2) + 4x2 * (-5 + 4x) + x3(-5 + 4x)) = 0
(1440 + -1152x + 300x + -240x2 + (-5 * 4x2 + 4x * 4x2) + x3(-5 + 4x)) = 0
(1440 + -1152x + 300x + -240x2 + (-20x2 + 16x3) + x3(-5 + 4x)) = 0
(1440 + -1152x + 300x + -240x2 + -20x2 + 16x3 + (-5 * x3 + 4x * x3)) = 0
(1440 + -1152x + 300x + -240x2 + -20x2 + 16x3 + (-5x3 + 4x4)) = 0

Combine like terms: -1152x + 300x = -852x
(1440 + -852x + -240x2 + -20x2 + 16x3 + -5x3 + 4x4) = 0

Combine like terms: -240x2 + -20x2 = -260x2
(1440 + -852x + -260x2 + 16x3 + -5x3 + 4x4) = 0

Combine like terms: 16x3 + -5x3 = 11x3
(1440 + -852x + -260x2 + 11x3 + 4x4) = 0

Solving
1440 + -852x + -260x2 + 11x3 + 4x4 = 0

Solving for variable 'x'.

The solution to this equation could not be determined.

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