(X+1)(x-7)(x+2)=2

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


Simplifying
(X + 1)(x + -7)(x + 2) = 2

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

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

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

Multiply (1 + X) * (-7 + x)
(1(-7 + x) + X(-7 + x))(2 + x) = 2
((-7 * 1 + x * 1) + X(-7 + x))(2 + x) = 2
((-7 + 1x) + X(-7 + x))(2 + x) = 2
(-7 + 1x + (-7 * X + x * X))(2 + x) = 2
(-7 + 1x + (-7X + xX))(2 + x) = 2

Reorder the terms:
(-7 + -7X + 1x + xX)(2 + x) = 2
(-7 + -7X + 1x + xX)(2 + x) = 2

Multiply (-7 + -7X + 1x + xX) * (2 + x)
(-7(2 + x) + -7X * (2 + x) + 1x * (2 + x) + xX(2 + x)) = 2
((2 * -7 + x * -7) + -7X * (2 + x) + 1x * (2 + x) + xX(2 + x)) = 2
((-14 + -7x) + -7X * (2 + x) + 1x * (2 + x) + xX(2 + x)) = 2
(-14 + -7x + (2 * -7X + x * -7X) + 1x * (2 + x) + xX(2 + x)) = 2
(-14 + -7x + (-14X + -7xX) + 1x * (2 + x) + xX(2 + x)) = 2
(-14 + -7x + -14X + -7xX + (2 * 1x + x * 1x) + xX(2 + x)) = 2
(-14 + -7x + -14X + -7xX + (2x + 1x2) + xX(2 + x)) = 2
(-14 + -7x + -14X + -7xX + 2x + 1x2 + (2 * xX + x * xX)) = 2
(-14 + -7x + -14X + -7xX + 2x + 1x2 + (2xX + x2X)) = 2

Reorder the terms:
(-14 + -14X + -7x + 2x + -7xX + 2xX + 1x2 + x2X) = 2

Combine like terms: -7x + 2x = -5x
(-14 + -14X + -5x + -7xX + 2xX + 1x2 + x2X) = 2

Combine like terms: -7xX + 2xX = -5xX
(-14 + -14X + -5x + -5xX + 1x2 + x2X) = 2

Solving
-14 + -14X + -5x + -5xX + 1x2 + x2X = 2

Solving for variable 'X'.

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

Add '14' to each side of the equation.
-14 + -14X + -5x + -5xX + 1x2 + 14 + x2X = 2 + 14

Reorder the terms:
-14 + 14 + -14X + -5x + -5xX + 1x2 + x2X = 2 + 14

Combine like terms: -14 + 14 = 0
0 + -14X + -5x + -5xX + 1x2 + x2X = 2 + 14
-14X + -5x + -5xX + 1x2 + x2X = 2 + 14

Combine like terms: 2 + 14 = 16
-14X + -5x + -5xX + 1x2 + x2X = 16

Add '5x' to each side of the equation.
-14X + -5x + -5xX + 1x2 + 5x + x2X = 16 + 5x

Reorder the terms:
-14X + -5x + 5x + -5xX + 1x2 + x2X = 16 + 5x

Combine like terms: -5x + 5x = 0
-14X + 0 + -5xX + 1x2 + x2X = 16 + 5x
-14X + -5xX + 1x2 + x2X = 16 + 5x

Add '-1x2' to each side of the equation.
-14X + -5xX + 1x2 + -1x2 + x2X = 16 + 5x + -1x2

Combine like terms: 1x2 + -1x2 = 0
-14X + -5xX + 0 + x2X = 16 + 5x + -1x2
-14X + -5xX + x2X = 16 + 5x + -1x2

Reorder the terms:
-16 + -14X + -5x + -5xX + x2 + x2X = 16 + 5x + -1x2 + -16 + -5x + x2

Reorder the terms:
-16 + -14X + -5x + -5xX + x2 + x2X = 16 + -16 + 5x + -5x + -1x2 + x2

Combine like terms: 16 + -16 = 0
-16 + -14X + -5x + -5xX + x2 + x2X = 0 + 5x + -5x + -1x2 + x2
-16 + -14X + -5x + -5xX + x2 + x2X = 5x + -5x + -1x2 + x2

Combine like terms: 5x + -5x = 0
-16 + -14X + -5x + -5xX + x2 + x2X = 0 + -1x2 + x2
-16 + -14X + -5x + -5xX + x2 + x2X = -1x2 + x2

Combine like terms: -1x2 + x2 = 0
-16 + -14X + -5x + -5xX + x2 + x2X = 0

The solution to this equation could not be determined.

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