(X+3)(x-7)(5-x)=0

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Solution for (X+3)(x-7)(5-x)=0 equation: 


Simplifying
(X + 3)(x + -7)(5 + -1x) = 0

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

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

Multiply (3 + X) * (-7 + x)
(3(-7 + x) + X(-7 + x))(5 + -1x) = 0
((-7 * 3 + x * 3) + X(-7 + x))(5 + -1x) = 0
((-21 + 3x) + X(-7 + x))(5 + -1x) = 0
(-21 + 3x + (-7 * X + x * X))(5 + -1x) = 0
(-21 + 3x + (-7X + xX))(5 + -1x) = 0

Reorder the terms:
(-21 + -7X + 3x + xX)(5 + -1x) = 0
(-21 + -7X + 3x + xX)(5 + -1x) = 0

Multiply (-21 + -7X + 3x + xX) * (5 + -1x)
(-21(5 + -1x) + -7X * (5 + -1x) + 3x * (5 + -1x) + xX(5 + -1x)) = 0
((5 * -21 + -1x * -21) + -7X * (5 + -1x) + 3x * (5 + -1x) + xX(5 + -1x)) = 0
((-105 + 21x) + -7X * (5 + -1x) + 3x * (5 + -1x) + xX(5 + -1x)) = 0
(-105 + 21x + (5 * -7X + -1x * -7X) + 3x * (5 + -1x) + xX(5 + -1x)) = 0
(-105 + 21x + (-35X + 7xX) + 3x * (5 + -1x) + xX(5 + -1x)) = 0
(-105 + 21x + -35X + 7xX + (5 * 3x + -1x * 3x) + xX(5 + -1x)) = 0
(-105 + 21x + -35X + 7xX + (15x + -3x2) + xX(5 + -1x)) = 0
(-105 + 21x + -35X + 7xX + 15x + -3x2 + (5 * xX + -1x * xX)) = 0
(-105 + 21x + -35X + 7xX + 15x + -3x2 + (5xX + -1x2X)) = 0

Reorder the terms:
(-105 + -35X + 21x + 15x + 7xX + 5xX + -3x2 + -1x2X) = 0

Combine like terms: 21x + 15x = 36x
(-105 + -35X + 36x + 7xX + 5xX + -3x2 + -1x2X) = 0

Combine like terms: 7xX + 5xX = 12xX
(-105 + -35X + 36x + 12xX + -3x2 + -1x2X) = 0

Solving
-105 + -35X + 36x + 12xX + -3x2 + -1x2X = 0

Solving for variable 'X'.

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

Add '105' to each side of the equation.
-105 + -35X + 36x + 12xX + -3x2 + 105 + -1x2X = 0 + 105

Reorder the terms:
-105 + 105 + -35X + 36x + 12xX + -3x2 + -1x2X = 0 + 105

Combine like terms: -105 + 105 = 0
0 + -35X + 36x + 12xX + -3x2 + -1x2X = 0 + 105
-35X + 36x + 12xX + -3x2 + -1x2X = 0 + 105

Combine like terms: 0 + 105 = 105
-35X + 36x + 12xX + -3x2 + -1x2X = 105

Add '-36x' to each side of the equation.
-35X + 36x + 12xX + -3x2 + -36x + -1x2X = 105 + -36x

Reorder the terms:
-35X + 36x + -36x + 12xX + -3x2 + -1x2X = 105 + -36x

Combine like terms: 36x + -36x = 0
-35X + 0 + 12xX + -3x2 + -1x2X = 105 + -36x
-35X + 12xX + -3x2 + -1x2X = 105 + -36x

Add '3x2' to each side of the equation.
-35X + 12xX + -3x2 + 3x2 + -1x2X = 105 + -36x + 3x2

Combine like terms: -3x2 + 3x2 = 0
-35X + 12xX + 0 + -1x2X = 105 + -36x + 3x2
-35X + 12xX + -1x2X = 105 + -36x + 3x2

Reorder the terms:
-105 + -35X + 36x + 12xX + -3x2 + -1x2X = 105 + -36x + 3x2 + -105 + 36x + -3x2

Reorder the terms:
-105 + -35X + 36x + 12xX + -3x2 + -1x2X = 105 + -105 + -36x + 36x + 3x2 + -3x2

Combine like terms: 105 + -105 = 0
-105 + -35X + 36x + 12xX + -3x2 + -1x2X = 0 + -36x + 36x + 3x2 + -3x2
-105 + -35X + 36x + 12xX + -3x2 + -1x2X = -36x + 36x + 3x2 + -3x2

Combine like terms: -36x + 36x = 0
-105 + -35X + 36x + 12xX + -3x2 + -1x2X = 0 + 3x2 + -3x2
-105 + -35X + 36x + 12xX + -3x2 + -1x2X = 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
-105 + -35X + 36x + 12xX + -3x2 + -1x2X = 0

The solution to this equation could not be determined.

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