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

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


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

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

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

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

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

Combine like terms: -3x + -4x = -7x
(12 + -7x + x2)(5 + x) = 5

Multiply (12 + -7x + x2) * (5 + x)
(12(5 + x) + -7x * (5 + x) + x2(5 + x)) = 5
((5 * 12 + x * 12) + -7x * (5 + x) + x2(5 + x)) = 5
((60 + 12x) + -7x * (5 + x) + x2(5 + x)) = 5
(60 + 12x + (5 * -7x + x * -7x) + x2(5 + x)) = 5
(60 + 12x + (-35x + -7x2) + x2(5 + x)) = 5
(60 + 12x + -35x + -7x2 + (5 * x2 + x * x2)) = 5
(60 + 12x + -35x + -7x2 + (5x2 + x3)) = 5

Combine like terms: 12x + -35x = -23x
(60 + -23x + -7x2 + 5x2 + x3) = 5

Combine like terms: -7x2 + 5x2 = -2x2
(60 + -23x + -2x2 + x3) = 5

Solving
60 + -23x + -2x2 + x3 = 5

Solving for variable 'x'.

Reorder the terms:
60 + -5 + -23x + -2x2 + x3 = 5 + -5

Combine like terms: 60 + -5 = 55
55 + -23x + -2x2 + x3 = 5 + -5

Combine like terms: 5 + -5 = 0
55 + -23x + -2x2 + x3 = 0

The solution to this equation could not be determined.

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