(x-5)(x-5)(x-5)=-27

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Solution for (x-5)(x-5)(x-5)=-27 equation: 


Simplifying
(x + -5)(x + -5)(x + -5) = -27

Reorder the terms:
(-5 + x)(x + -5)(x + -5) = -27

Reorder the terms:
(-5 + x)(-5 + x)(x + -5) = -27

Reorder the terms:
(-5 + x)(-5 + x)(-5 + x) = -27

Multiply (-5 + x) * (-5 + x)
(-5(-5 + x) + x(-5 + x))(-5 + x) = -27
((-5 * -5 + x * -5) + x(-5 + x))(-5 + x) = -27
((25 + -5x) + x(-5 + x))(-5 + x) = -27
(25 + -5x + (-5 * x + x * x))(-5 + x) = -27
(25 + -5x + (-5x + x2))(-5 + x) = -27

Combine like terms: -5x + -5x = -10x
(25 + -10x + x2)(-5 + x) = -27

Multiply (25 + -10x + x2) * (-5 + x)
(25(-5 + x) + -10x * (-5 + x) + x2(-5 + x)) = -27
((-5 * 25 + x * 25) + -10x * (-5 + x) + x2(-5 + x)) = -27
((-125 + 25x) + -10x * (-5 + x) + x2(-5 + x)) = -27
(-125 + 25x + (-5 * -10x + x * -10x) + x2(-5 + x)) = -27
(-125 + 25x + (50x + -10x2) + x2(-5 + x)) = -27
(-125 + 25x + 50x + -10x2 + (-5 * x2 + x * x2)) = -27
(-125 + 25x + 50x + -10x2 + (-5x2 + x3)) = -27

Combine like terms: 25x + 50x = 75x
(-125 + 75x + -10x2 + -5x2 + x3) = -27

Combine like terms: -10x2 + -5x2 = -15x2
(-125 + 75x + -15x2 + x3) = -27

Solving
-125 + 75x + -15x2 + x3 = -27

Solving for variable 'x'.

Reorder the terms:
-125 + 27 + 75x + -15x2 + x3 = -27 + 27

Combine like terms: -125 + 27 = -98
-98 + 75x + -15x2 + x3 = -27 + 27

Combine like terms: -27 + 27 = 0
-98 + 75x + -15x2 + x3 = 0

The solution to this equation could not be determined.

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