(X-5)(2x-3)(x+4)=0

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Solution for (X-5)(2x-3)(x+4)=0 equation:


Simplifying
(X + -5)(2x + -3)(x + 4) = 0

Reorder the terms:
(-5 + X)(2x + -3)(x + 4) = 0

Reorder the terms:
(-5 + X)(-3 + 2x)(x + 4) = 0

Reorder the terms:
(-5 + X)(-3 + 2x)(4 + x) = 0

Multiply (-5 + X) * (-3 + 2x)
(-5(-3 + 2x) + X(-3 + 2x))(4 + x) = 0
((-3 * -5 + 2x * -5) + X(-3 + 2x))(4 + x) = 0
((15 + -10x) + X(-3 + 2x))(4 + x) = 0
(15 + -10x + (-3 * X + 2x * X))(4 + x) = 0
(15 + -10x + (-3X + 2xX))(4 + x) = 0

Reorder the terms:
(15 + -3X + -10x + 2xX)(4 + x) = 0
(15 + -3X + -10x + 2xX)(4 + x) = 0

Multiply (15 + -3X + -10x + 2xX) * (4 + x)
(15(4 + x) + -3X * (4 + x) + -10x * (4 + x) + 2xX * (4 + x)) = 0
((4 * 15 + x * 15) + -3X * (4 + x) + -10x * (4 + x) + 2xX * (4 + x)) = 0
((60 + 15x) + -3X * (4 + x) + -10x * (4 + x) + 2xX * (4 + x)) = 0
(60 + 15x + (4 * -3X + x * -3X) + -10x * (4 + x) + 2xX * (4 + x)) = 0
(60 + 15x + (-12X + -3xX) + -10x * (4 + x) + 2xX * (4 + x)) = 0
(60 + 15x + -12X + -3xX + (4 * -10x + x * -10x) + 2xX * (4 + x)) = 0
(60 + 15x + -12X + -3xX + (-40x + -10x2) + 2xX * (4 + x)) = 0
(60 + 15x + -12X + -3xX + -40x + -10x2 + (4 * 2xX + x * 2xX)) = 0
(60 + 15x + -12X + -3xX + -40x + -10x2 + (8xX + 2x2X)) = 0

Reorder the terms:
(60 + -12X + 15x + -40x + -3xX + 8xX + -10x2 + 2x2X) = 0

Combine like terms: 15x + -40x = -25x
(60 + -12X + -25x + -3xX + 8xX + -10x2 + 2x2X) = 0

Combine like terms: -3xX + 8xX = 5xX
(60 + -12X + -25x + 5xX + -10x2 + 2x2X) = 0

Solving
60 + -12X + -25x + 5xX + -10x2 + 2x2X = 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 + -25x + 5xX + -10x2 + -60 + 2x2X = 0 + -60

Reorder the terms:
60 + -60 + -12X + -25x + 5xX + -10x2 + 2x2X = 0 + -60

Combine like terms: 60 + -60 = 0
0 + -12X + -25x + 5xX + -10x2 + 2x2X = 0 + -60
-12X + -25x + 5xX + -10x2 + 2x2X = 0 + -60

Combine like terms: 0 + -60 = -60
-12X + -25x + 5xX + -10x2 + 2x2X = -60

Add '25x' to each side of the equation.
-12X + -25x + 5xX + -10x2 + 25x + 2x2X = -60 + 25x

Reorder the terms:
-12X + -25x + 25x + 5xX + -10x2 + 2x2X = -60 + 25x

Combine like terms: -25x + 25x = 0
-12X + 0 + 5xX + -10x2 + 2x2X = -60 + 25x
-12X + 5xX + -10x2 + 2x2X = -60 + 25x

Add '10x2' to each side of the equation.
-12X + 5xX + -10x2 + 10x2 + 2x2X = -60 + 25x + 10x2

Combine like terms: -10x2 + 10x2 = 0
-12X + 5xX + 0 + 2x2X = -60 + 25x + 10x2
-12X + 5xX + 2x2X = -60 + 25x + 10x2

Reorder the terms:
60 + -12X + -25x + 5xX + -10x2 + 2x2X = -60 + 25x + 10x2 + 60 + -25x + -10x2

Reorder the terms:
60 + -12X + -25x + 5xX + -10x2 + 2x2X = -60 + 60 + 25x + -25x + 10x2 + -10x2

Combine like terms: -60 + 60 = 0
60 + -12X + -25x + 5xX + -10x2 + 2x2X = 0 + 25x + -25x + 10x2 + -10x2
60 + -12X + -25x + 5xX + -10x2 + 2x2X = 25x + -25x + 10x2 + -10x2

Combine like terms: 25x + -25x = 0
60 + -12X + -25x + 5xX + -10x2 + 2x2X = 0 + 10x2 + -10x2
60 + -12X + -25x + 5xX + -10x2 + 2x2X = 10x2 + -10x2

Combine like terms: 10x2 + -10x2 = 0
60 + -12X + -25x + 5xX + -10x2 + 2x2X = 0

The solution to this equation could not be determined.

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