(X+7)(2x-1)(5x+4)=0

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Solution for (X+7)(2x-1)(5x+4)=0 equation: 


Simplifying
(X + 7)(2x + -1)(5x + 4) = 0

Reorder the terms:
(7 + X)(2x + -1)(5x + 4) = 0

Reorder the terms:
(7 + X)(-1 + 2x)(5x + 4) = 0

Reorder the terms:
(7 + X)(-1 + 2x)(4 + 5x) = 0

Multiply (7 + X) * (-1 + 2x)
(7(-1 + 2x) + X(-1 + 2x))(4 + 5x) = 0
((-1 * 7 + 2x * 7) + X(-1 + 2x))(4 + 5x) = 0
((-7 + 14x) + X(-1 + 2x))(4 + 5x) = 0
(-7 + 14x + (-1 * X + 2x * X))(4 + 5x) = 0
(-7 + 14x + (-1X + 2xX))(4 + 5x) = 0

Reorder the terms:
(-7 + -1X + 14x + 2xX)(4 + 5x) = 0
(-7 + -1X + 14x + 2xX)(4 + 5x) = 0

Multiply (-7 + -1X + 14x + 2xX) * (4 + 5x)
(-7(4 + 5x) + -1X * (4 + 5x) + 14x * (4 + 5x) + 2xX * (4 + 5x)) = 0
((4 * -7 + 5x * -7) + -1X * (4 + 5x) + 14x * (4 + 5x) + 2xX * (4 + 5x)) = 0
((-28 + -35x) + -1X * (4 + 5x) + 14x * (4 + 5x) + 2xX * (4 + 5x)) = 0
(-28 + -35x + (4 * -1X + 5x * -1X) + 14x * (4 + 5x) + 2xX * (4 + 5x)) = 0
(-28 + -35x + (-4X + -5xX) + 14x * (4 + 5x) + 2xX * (4 + 5x)) = 0
(-28 + -35x + -4X + -5xX + (4 * 14x + 5x * 14x) + 2xX * (4 + 5x)) = 0
(-28 + -35x + -4X + -5xX + (56x + 70x2) + 2xX * (4 + 5x)) = 0
(-28 + -35x + -4X + -5xX + 56x + 70x2 + (4 * 2xX + 5x * 2xX)) = 0
(-28 + -35x + -4X + -5xX + 56x + 70x2 + (8xX + 10x2X)) = 0

Reorder the terms:
(-28 + -4X + -35x + 56x + -5xX + 8xX + 70x2 + 10x2X) = 0

Combine like terms: -35x + 56x = 21x
(-28 + -4X + 21x + -5xX + 8xX + 70x2 + 10x2X) = 0

Combine like terms: -5xX + 8xX = 3xX
(-28 + -4X + 21x + 3xX + 70x2 + 10x2X) = 0

Solving
-28 + -4X + 21x + 3xX + 70x2 + 10x2X = 0

Solving for variable 'X'.

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

Add '28' to each side of the equation.
-28 + -4X + 21x + 3xX + 70x2 + 28 + 10x2X = 0 + 28

Reorder the terms:
-28 + 28 + -4X + 21x + 3xX + 70x2 + 10x2X = 0 + 28

Combine like terms: -28 + 28 = 0
0 + -4X + 21x + 3xX + 70x2 + 10x2X = 0 + 28
-4X + 21x + 3xX + 70x2 + 10x2X = 0 + 28

Combine like terms: 0 + 28 = 28
-4X + 21x + 3xX + 70x2 + 10x2X = 28

Add '-21x' to each side of the equation.
-4X + 21x + 3xX + 70x2 + -21x + 10x2X = 28 + -21x

Reorder the terms:
-4X + 21x + -21x + 3xX + 70x2 + 10x2X = 28 + -21x

Combine like terms: 21x + -21x = 0
-4X + 0 + 3xX + 70x2 + 10x2X = 28 + -21x
-4X + 3xX + 70x2 + 10x2X = 28 + -21x

Add '-70x2' to each side of the equation.
-4X + 3xX + 70x2 + -70x2 + 10x2X = 28 + -21x + -70x2

Combine like terms: 70x2 + -70x2 = 0
-4X + 3xX + 0 + 10x2X = 28 + -21x + -70x2
-4X + 3xX + 10x2X = 28 + -21x + -70x2

Reorder the terms:
-28 + -4X + 21x + 3xX + 70x2 + 10x2X = 28 + -21x + -70x2 + -28 + 21x + 70x2

Reorder the terms:
-28 + -4X + 21x + 3xX + 70x2 + 10x2X = 28 + -28 + -21x + 21x + -70x2 + 70x2

Combine like terms: 28 + -28 = 0
-28 + -4X + 21x + 3xX + 70x2 + 10x2X = 0 + -21x + 21x + -70x2 + 70x2
-28 + -4X + 21x + 3xX + 70x2 + 10x2X = -21x + 21x + -70x2 + 70x2

Combine like terms: -21x + 21x = 0
-28 + -4X + 21x + 3xX + 70x2 + 10x2X = 0 + -70x2 + 70x2
-28 + -4X + 21x + 3xX + 70x2 + 10x2X = -70x2 + 70x2

Combine like terms: -70x2 + 70x2 = 0
-28 + -4X + 21x + 3xX + 70x2 + 10x2X = 0

The solution to this equation could not be determined.

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