(X+3)(x+1)(x-1)=105

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Solution for (X+3)(x+1)(x-1)=105 equation:


Simplifying
(X + 3)(x + 1)(x + -1) = 105

Reorder the terms:
(3 + X)(x + 1)(x + -1) = 105

Reorder the terms:
(3 + X)(1 + x)(x + -1) = 105

Reorder the terms:
(3 + X)(1 + x)(-1 + x) = 105

Multiply (3 + X) * (1 + x)
(3(1 + x) + X(1 + x))(-1 + x) = 105
((1 * 3 + x * 3) + X(1 + x))(-1 + x) = 105
((3 + 3x) + X(1 + x))(-1 + x) = 105
(3 + 3x + (1 * X + x * X))(-1 + x) = 105
(3 + 3x + (1X + xX))(-1 + x) = 105

Reorder the terms:
(3 + 1X + 3x + xX)(-1 + x) = 105
(3 + 1X + 3x + xX)(-1 + x) = 105

Multiply (3 + 1X + 3x + xX) * (-1 + x)
(3(-1 + x) + 1X * (-1 + x) + 3x * (-1 + x) + xX(-1 + x)) = 105
((-1 * 3 + x * 3) + 1X * (-1 + x) + 3x * (-1 + x) + xX(-1 + x)) = 105
((-3 + 3x) + 1X * (-1 + x) + 3x * (-1 + x) + xX(-1 + x)) = 105
(-3 + 3x + (-1 * 1X + x * 1X) + 3x * (-1 + x) + xX(-1 + x)) = 105
(-3 + 3x + (-1X + 1xX) + 3x * (-1 + x) + xX(-1 + x)) = 105
(-3 + 3x + -1X + 1xX + (-1 * 3x + x * 3x) + xX(-1 + x)) = 105
(-3 + 3x + -1X + 1xX + (-3x + 3x2) + xX(-1 + x)) = 105
(-3 + 3x + -1X + 1xX + -3x + 3x2 + (-1 * xX + x * xX)) = 105
(-3 + 3x + -1X + 1xX + -3x + 3x2 + (-1xX + x2X)) = 105

Reorder the terms:
(-3 + -1X + 3x + -3x + 1xX + -1xX + 3x2 + x2X) = 105

Combine like terms: 3x + -3x = 0
(-3 + -1X + 0 + 1xX + -1xX + 3x2 + x2X) = 105
(-3 + -1X + 1xX + -1xX + 3x2 + x2X) = 105

Combine like terms: 1xX + -1xX = 0
(-3 + -1X + 0 + 3x2 + x2X) = 105
(-3 + -1X + 3x2 + x2X) = 105

Solving
-3 + -1X + 3x2 + x2X = 105

Solving for variable 'X'.

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

Add '3' to each side of the equation.
-3 + -1X + 3x2 + 3 + x2X = 105 + 3

Reorder the terms:
-3 + 3 + -1X + 3x2 + x2X = 105 + 3

Combine like terms: -3 + 3 = 0
0 + -1X + 3x2 + x2X = 105 + 3
-1X + 3x2 + x2X = 105 + 3

Combine like terms: 105 + 3 = 108
-1X + 3x2 + x2X = 108

Add '-3x2' to each side of the equation.
-1X + 3x2 + -3x2 + x2X = 108 + -3x2

Combine like terms: 3x2 + -3x2 = 0
-1X + 0 + x2X = 108 + -3x2
-1X + x2X = 108 + -3x2

Reorder the terms:
-108 + -1X + 3x2 + x2X = 108 + -3x2 + -108 + 3x2

Reorder the terms:
-108 + -1X + 3x2 + x2X = 108 + -108 + -3x2 + 3x2

Combine like terms: 108 + -108 = 0
-108 + -1X + 3x2 + x2X = 0 + -3x2 + 3x2
-108 + -1X + 3x2 + x2X = -3x2 + 3x2

Combine like terms: -3x2 + 3x2 = 0
-108 + -1X + 3x2 + x2X = 0

The solution to this equation could not be determined.

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