(x-5)*(x-5)*(x-5)*(x-5)-13(x-5)*(x-5)+48=0

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Solution for (x-5)*(x-5)*(x-5)*(x-5)-13(x-5)*(x-5)+48=0 equation: 


Simplifying
(x + -5)(x + -5)(x + -5)(x + -5) + -13(x + -5)(x + -5) + 48 = 0

Reorder the terms:
(-5 + x)(x + -5)(x + -5)(x + -5) + -13(x + -5)(x + -5) + 48 = 0

Reorder the terms:
(-5 + x)(-5 + x)(x + -5)(x + -5) + -13(x + -5)(x + -5) + 48 = 0

Reorder the terms:
(-5 + x)(-5 + x)(-5 + x)(x + -5) + -13(x + -5)(x + -5) + 48 = 0

Reorder the terms:
(-5 + x)(-5 + x)(-5 + x)(-5 + x) + -13(x + -5)(x + -5) + 48 = 0

Multiply (-5 + x) * (-5 + x)
(-5(-5 + x) + x(-5 + x))(-5 + x)(-5 + x) + -13(x + -5)(x + -5) + 48 = 0
((-5 * -5 + x * -5) + x(-5 + x))(-5 + x)(-5 + x) + -13(x + -5)(x + -5) + 48 = 0
((25 + -5x) + x(-5 + x))(-5 + x)(-5 + x) + -13(x + -5)(x + -5) + 48 = 0
(25 + -5x + (-5 * x + x * x))(-5 + x)(-5 + x) + -13(x + -5)(x + -5) + 48 = 0
(25 + -5x + (-5x + x2))(-5 + x)(-5 + x) + -13(x + -5)(x + -5) + 48 = 0

Combine like terms: -5x + -5x = -10x
(25 + -10x + x2)(-5 + x)(-5 + x) + -13(x + -5)(x + -5) + 48 = 0

Multiply (25 + -10x + x2) * (-5 + x)
(25(-5 + x) + -10x * (-5 + x) + x2(-5 + x))(-5 + x) + -13(x + -5)(x + -5) + 48 = 0
((-5 * 25 + x * 25) + -10x * (-5 + x) + x2(-5 + x))(-5 + x) + -13(x + -5)(x + -5) + 48 = 0
((-125 + 25x) + -10x * (-5 + x) + x2(-5 + x))(-5 + x) + -13(x + -5)(x + -5) + 48 = 0
(-125 + 25x + (-5 * -10x + x * -10x) + x2(-5 + x))(-5 + x) + -13(x + -5)(x + -5) + 48 = 0
(-125 + 25x + (50x + -10x2) + x2(-5 + x))(-5 + x) + -13(x + -5)(x + -5) + 48 = 0
(-125 + 25x + 50x + -10x2 + (-5 * x2 + x * x2))(-5 + x) + -13(x + -5)(x + -5) + 48 = 0
(-125 + 25x + 50x + -10x2 + (-5x2 + x3))(-5 + x) + -13(x + -5)(x + -5) + 48 = 0

Combine like terms: 25x + 50x = 75x
(-125 + 75x + -10x2 + -5x2 + x3)(-5 + x) + -13(x + -5)(x + -5) + 48 = 0

Combine like terms: -10x2 + -5x2 = -15x2
(-125 + 75x + -15x2 + x3)(-5 + x) + -13(x + -5)(x + -5) + 48 = 0

Multiply (-125 + 75x + -15x2 + x3) * (-5 + x)
(-125(-5 + x) + 75x * (-5 + x) + -15x2 * (-5 + x) + x3(-5 + x)) + -13(x + -5)(x + -5) + 48 = 0
((-5 * -125 + x * -125) + 75x * (-5 + x) + -15x2 * (-5 + x) + x3(-5 + x)) + -13(x + -5)(x + -5) + 48 = 0
((625 + -125x) + 75x * (-5 + x) + -15x2 * (-5 + x) + x3(-5 + x)) + -13(x + -5)(x + -5) + 48 = 0
(625 + -125x + (-5 * 75x + x * 75x) + -15x2 * (-5 + x) + x3(-5 + x)) + -13(x + -5)(x + -5) + 48 = 0
(625 + -125x + (-375x + 75x2) + -15x2 * (-5 + x) + x3(-5 + x)) + -13(x + -5)(x + -5) + 48 = 0
(625 + -125x + -375x + 75x2 + (-5 * -15x2 + x * -15x2) + x3(-5 + x)) + -13(x + -5)(x + -5) + 48 = 0
(625 + -125x + -375x + 75x2 + (75x2 + -15x3) + x3(-5 + x)) + -13(x + -5)(x + -5) + 48 = 0
(625 + -125x + -375x + 75x2 + 75x2 + -15x3 + (-5 * x3 + x * x3)) + -13(x + -5)(x + -5) + 48 = 0
(625 + -125x + -375x + 75x2 + 75x2 + -15x3 + (-5x3 + x4)) + -13(x + -5)(x + -5) + 48 = 0

Combine like terms: -125x + -375x = -500x
(625 + -500x + 75x2 + 75x2 + -15x3 + -5x3 + x4) + -13(x + -5)(x + -5) + 48 = 0

Combine like terms: 75x2 + 75x2 = 150x2
(625 + -500x + 150x2 + -15x3 + -5x3 + x4) + -13(x + -5)(x + -5) + 48 = 0

Combine like terms: -15x3 + -5x3 = -20x3
(625 + -500x + 150x2 + -20x3 + x4) + -13(x + -5)(x + -5) + 48 = 0

Reorder the terms:
625 + -500x + 150x2 + -20x3 + x4 + -13(-5 + x)(x + -5) + 48 = 0

Reorder the terms:
625 + -500x + 150x2 + -20x3 + x4 + -13(-5 + x)(-5 + x) + 48 = 0

Multiply (-5 + x) * (-5 + x)
625 + -500x + 150x2 + -20x3 + x4 + -13(-5(-5 + x) + x(-5 + x)) + 48 = 0
625 + -500x + 150x2 + -20x3 + x4 + -13((-5 * -5 + x * -5) + x(-5 + x)) + 48 = 0
625 + -500x + 150x2 + -20x3 + x4 + -13((25 + -5x) + x(-5 + x)) + 48 = 0
625 + -500x + 150x2 + -20x3 + x4 + -13(25 + -5x + (-5 * x + x * x)) + 48 = 0
625 + -500x + 150x2 + -20x3 + x4 + -13(25 + -5x + (-5x + x2)) + 48 = 0

Combine like terms: -5x + -5x = -10x
625 + -500x + 150x2 + -20x3 + x4 + -13(25 + -10x + x2) + 48 = 0
625 + -500x + 150x2 + -20x3 + x4 + (25 * -13 + -10x * -13 + x2 * -13) + 48 = 0
625 + -500x + 150x2 + -20x3 + x4 + (-325 + 130x + -13x2) + 48 = 0

Reorder the terms:
625 + -325 + 48 + -500x + 130x + 150x2 + -13x2 + -20x3 + x4 = 0

Combine like terms: 625 + -325 = 300
300 + 48 + -500x + 130x + 150x2 + -13x2 + -20x3 + x4 = 0

Combine like terms: 300 + 48 = 348
348 + -500x + 130x + 150x2 + -13x2 + -20x3 + x4 = 0

Combine like terms: -500x + 130x = -370x
348 + -370x + 150x2 + -13x2 + -20x3 + x4 = 0

Combine like terms: 150x2 + -13x2 = 137x2
348 + -370x + 137x2 + -20x3 + x4 = 0

Solving
348 + -370x + 137x2 + -20x3 + x4 = 0

Solving for variable 'x'.

The solution to this equation could not be determined.

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