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

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


Simplifying
(X + 3)(x + -4)(x + -5) = 0

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

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

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

Multiply (3 + X) * (-4 + x)
(3(-4 + x) + X(-4 + x))(-5 + x) = 0
((-4 * 3 + x * 3) + X(-4 + x))(-5 + x) = 0
((-12 + 3x) + X(-4 + x))(-5 + x) = 0
(-12 + 3x + (-4 * X + x * X))(-5 + x) = 0
(-12 + 3x + (-4X + xX))(-5 + x) = 0

Reorder the terms:
(-12 + -4X + 3x + xX)(-5 + x) = 0
(-12 + -4X + 3x + xX)(-5 + x) = 0

Multiply (-12 + -4X + 3x + xX) * (-5 + x)
(-12(-5 + x) + -4X * (-5 + x) + 3x * (-5 + x) + xX(-5 + x)) = 0
((-5 * -12 + x * -12) + -4X * (-5 + x) + 3x * (-5 + x) + xX(-5 + x)) = 0
((60 + -12x) + -4X * (-5 + x) + 3x * (-5 + x) + xX(-5 + x)) = 0
(60 + -12x + (-5 * -4X + x * -4X) + 3x * (-5 + x) + xX(-5 + x)) = 0
(60 + -12x + (20X + -4xX) + 3x * (-5 + x) + xX(-5 + x)) = 0
(60 + -12x + 20X + -4xX + (-5 * 3x + x * 3x) + xX(-5 + x)) = 0
(60 + -12x + 20X + -4xX + (-15x + 3x2) + xX(-5 + x)) = 0
(60 + -12x + 20X + -4xX + -15x + 3x2 + (-5 * xX + x * xX)) = 0
(60 + -12x + 20X + -4xX + -15x + 3x2 + (-5xX + x2X)) = 0

Reorder the terms:
(60 + 20X + -12x + -15x + -4xX + -5xX + 3x2 + x2X) = 0

Combine like terms: -12x + -15x = -27x
(60 + 20X + -27x + -4xX + -5xX + 3x2 + x2X) = 0

Combine like terms: -4xX + -5xX = -9xX
(60 + 20X + -27x + -9xX + 3x2 + x2X) = 0

Solving
60 + 20X + -27x + -9xX + 3x2 + x2X = 0

Solving for variable 'X'.

Move all terms containing X to the left, all other terms to the right.

Add '-60' to each side of the equation.
60 + 20X + -27x + -9xX + 3x2 + -60 + x2X = 0 + -60

Reorder the terms:
60 + -60 + 20X + -27x + -9xX + 3x2 + x2X = 0 + -60

Combine like terms: 60 + -60 = 0
0 + 20X + -27x + -9xX + 3x2 + x2X = 0 + -60
20X + -27x + -9xX + 3x2 + x2X = 0 + -60

Combine like terms: 0 + -60 = -60
20X + -27x + -9xX + 3x2 + x2X = -60

Add '27x' to each side of the equation.
20X + -27x + -9xX + 3x2 + 27x + x2X = -60 + 27x

Reorder the terms:
20X + -27x + 27x + -9xX + 3x2 + x2X = -60 + 27x

Combine like terms: -27x + 27x = 0
20X + 0 + -9xX + 3x2 + x2X = -60 + 27x
20X + -9xX + 3x2 + x2X = -60 + 27x

Add '-3x2' to each side of the equation.
20X + -9xX + 3x2 + -3x2 + x2X = -60 + 27x + -3x2

Combine like terms: 3x2 + -3x2 = 0
20X + -9xX + 0 + x2X = -60 + 27x + -3x2
20X + -9xX + x2X = -60 + 27x + -3x2

Reorder the terms:
60 + 20X + -27x + -9xX + 3x2 + x2X = -60 + 27x + -3x2 + 60 + -27x + 3x2

Reorder the terms:
60 + 20X + -27x + -9xX + 3x2 + x2X = -60 + 60 + 27x + -27x + -3x2 + 3x2

Combine like terms: -60 + 60 = 0
60 + 20X + -27x + -9xX + 3x2 + x2X = 0 + 27x + -27x + -3x2 + 3x2
60 + 20X + -27x + -9xX + 3x2 + x2X = 27x + -27x + -3x2 + 3x2

Combine like terms: 27x + -27x = 0
60 + 20X + -27x + -9xX + 3x2 + x2X = 0 + -3x2 + 3x2
60 + 20X + -27x + -9xX + 3x2 + x2X = -3x2 + 3x2

Combine like terms: -3x2 + 3x2 = 0
60 + 20X + -27x + -9xX + 3x2 + x2X = 0

The solution to this equation could not be determined.

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