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

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Solution for (X+5)(x-4)(x-3)=0 equation: 


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

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

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

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

Multiply (5 + X) * (-4 + x)
(5(-4 + x) + X(-4 + x))(-3 + x) = 0
((-4 * 5 + x * 5) + X(-4 + x))(-3 + x) = 0
((-20 + 5x) + X(-4 + x))(-3 + x) = 0
(-20 + 5x + (-4 * X + x * X))(-3 + x) = 0
(-20 + 5x + (-4X + xX))(-3 + x) = 0

Reorder the terms:
(-20 + -4X + 5x + xX)(-3 + x) = 0
(-20 + -4X + 5x + xX)(-3 + x) = 0

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

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

Combine like terms: -20x + -15x = -35x
(60 + 12X + -35x + -4xX + -3xX + 5x2 + x2X) = 0

Combine like terms: -4xX + -3xX = -7xX
(60 + 12X + -35x + -7xX + 5x2 + x2X) = 0

Solving
60 + 12X + -35x + -7xX + 5x2 + 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 + 12X + -35x + -7xX + 5x2 + -60 + x2X = 0 + -60

Reorder the terms:
60 + -60 + 12X + -35x + -7xX + 5x2 + x2X = 0 + -60

Combine like terms: 60 + -60 = 0
0 + 12X + -35x + -7xX + 5x2 + x2X = 0 + -60
12X + -35x + -7xX + 5x2 + x2X = 0 + -60

Combine like terms: 0 + -60 = -60
12X + -35x + -7xX + 5x2 + x2X = -60

Add '35x' to each side of the equation.
12X + -35x + -7xX + 5x2 + 35x + x2X = -60 + 35x

Reorder the terms:
12X + -35x + 35x + -7xX + 5x2 + x2X = -60 + 35x

Combine like terms: -35x + 35x = 0
12X + 0 + -7xX + 5x2 + x2X = -60 + 35x
12X + -7xX + 5x2 + x2X = -60 + 35x

Add '-5x2' to each side of the equation.
12X + -7xX + 5x2 + -5x2 + x2X = -60 + 35x + -5x2

Combine like terms: 5x2 + -5x2 = 0
12X + -7xX + 0 + x2X = -60 + 35x + -5x2
12X + -7xX + x2X = -60 + 35x + -5x2

Reorder the terms:
60 + 12X + -35x + -7xX + 5x2 + x2X = -60 + 35x + -5x2 + 60 + -35x + 5x2

Reorder the terms:
60 + 12X + -35x + -7xX + 5x2 + x2X = -60 + 60 + 35x + -35x + -5x2 + 5x2

Combine like terms: -60 + 60 = 0
60 + 12X + -35x + -7xX + 5x2 + x2X = 0 + 35x + -35x + -5x2 + 5x2
60 + 12X + -35x + -7xX + 5x2 + x2X = 35x + -35x + -5x2 + 5x2

Combine like terms: 35x + -35x = 0
60 + 12X + -35x + -7xX + 5x2 + x2X = 0 + -5x2 + 5x2
60 + 12X + -35x + -7xX + 5x2 + x2X = -5x2 + 5x2

Combine like terms: -5x2 + 5x2 = 0
60 + 12X + -35x + -7xX + 5x2 + x2X = 0

The solution to this equation could not be determined.

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