(X+1)(x+7)(x-5)(x+1)=99

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Solution for (X+1)(x+7)(x-5)(x+1)=99 equation: 


Simplifying
(X + 1)(x + 7)(x + -5)(x + 1) = 99

Reorder the terms:
(1 + X)(x + 7)(x + -5)(x + 1) = 99

Reorder the terms:
(1 + X)(7 + x)(x + -5)(x + 1) = 99

Reorder the terms:
(1 + X)(7 + x)(-5 + x)(x + 1) = 99

Reorder the terms:
(1 + X)(7 + x)(-5 + x)(1 + x) = 99

Multiply (1 + X) * (7 + x)
(1(7 + x) + X(7 + x))(-5 + x)(1 + x) = 99
((7 * 1 + x * 1) + X(7 + x))(-5 + x)(1 + x) = 99
((7 + 1x) + X(7 + x))(-5 + x)(1 + x) = 99
(7 + 1x + (7 * X + x * X))(-5 + x)(1 + x) = 99
(7 + 1x + (7X + xX))(-5 + x)(1 + x) = 99

Reorder the terms:
(7 + 7X + 1x + xX)(-5 + x)(1 + x) = 99
(7 + 7X + 1x + xX)(-5 + x)(1 + x) = 99

Multiply (7 + 7X + 1x + xX) * (-5 + x)
(7(-5 + x) + 7X * (-5 + x) + 1x * (-5 + x) + xX(-5 + x))(1 + x) = 99
((-5 * 7 + x * 7) + 7X * (-5 + x) + 1x * (-5 + x) + xX(-5 + x))(1 + x) = 99
((-35 + 7x) + 7X * (-5 + x) + 1x * (-5 + x) + xX(-5 + x))(1 + x) = 99
(-35 + 7x + (-5 * 7X + x * 7X) + 1x * (-5 + x) + xX(-5 + x))(1 + x) = 99
(-35 + 7x + (-35X + 7xX) + 1x * (-5 + x) + xX(-5 + x))(1 + x) = 99
(-35 + 7x + -35X + 7xX + (-5 * 1x + x * 1x) + xX(-5 + x))(1 + x) = 99
(-35 + 7x + -35X + 7xX + (-5x + 1x2) + xX(-5 + x))(1 + x) = 99
(-35 + 7x + -35X + 7xX + -5x + 1x2 + (-5 * xX + x * xX))(1 + x) = 99
(-35 + 7x + -35X + 7xX + -5x + 1x2 + (-5xX + x2X))(1 + x) = 99

Reorder the terms:
(-35 + -35X + 7x + -5x + 7xX + -5xX + 1x2 + x2X)(1 + x) = 99

Combine like terms: 7x + -5x = 2x
(-35 + -35X + 2x + 7xX + -5xX + 1x2 + x2X)(1 + x) = 99

Combine like terms: 7xX + -5xX = 2xX
(-35 + -35X + 2x + 2xX + 1x2 + x2X)(1 + x) = 99

Multiply (-35 + -35X + 2x + 2xX + 1x2 + x2X) * (1 + x)
(-35(1 + x) + -35X * (1 + x) + 2x * (1 + x) + 2xX * (1 + x) + 1x2 * (1 + x) + x2X(1 + x)) = 99
((1 * -35 + x * -35) + -35X * (1 + x) + 2x * (1 + x) + 2xX * (1 + x) + 1x2 * (1 + x) + x2X(1 + x)) = 99
((-35 + -35x) + -35X * (1 + x) + 2x * (1 + x) + 2xX * (1 + x) + 1x2 * (1 + x) + x2X(1 + x)) = 99
(-35 + -35x + (1 * -35X + x * -35X) + 2x * (1 + x) + 2xX * (1 + x) + 1x2 * (1 + x) + x2X(1 + x)) = 99
(-35 + -35x + (-35X + -35xX) + 2x * (1 + x) + 2xX * (1 + x) + 1x2 * (1 + x) + x2X(1 + x)) = 99
(-35 + -35x + -35X + -35xX + (1 * 2x + x * 2x) + 2xX * (1 + x) + 1x2 * (1 + x) + x2X(1 + x)) = 99
(-35 + -35x + -35X + -35xX + (2x + 2x2) + 2xX * (1 + x) + 1x2 * (1 + x) + x2X(1 + x)) = 99
(-35 + -35x + -35X + -35xX + 2x + 2x2 + (1 * 2xX + x * 2xX) + 1x2 * (1 + x) + x2X(1 + x)) = 99
(-35 + -35x + -35X + -35xX + 2x + 2x2 + (2xX + 2x2X) + 1x2 * (1 + x) + x2X(1 + x)) = 99
(-35 + -35x + -35X + -35xX + 2x + 2x2 + 2xX + 2x2X + (1 * 1x2 + x * 1x2) + x2X(1 + x)) = 99
(-35 + -35x + -35X + -35xX + 2x + 2x2 + 2xX + 2x2X + (1x2 + 1x3) + x2X(1 + x)) = 99
(-35 + -35x + -35X + -35xX + 2x + 2x2 + 2xX + 2x2X + 1x2 + 1x3 + (1 * x2X + x * x2X)) = 99
(-35 + -35x + -35X + -35xX + 2x + 2x2 + 2xX + 2x2X + 1x2 + 1x3 + (1x2X + x3X)) = 99

Reorder the terms:
(-35 + -35X + -35x + 2x + -35xX + 2xX + 2x2 + 1x2 + 2x2X + 1x2X + 1x3 + x3X) = 99

Combine like terms: -35x + 2x = -33x
(-35 + -35X + -33x + -35xX + 2xX + 2x2 + 1x2 + 2x2X + 1x2X + 1x3 + x3X) = 99

Combine like terms: -35xX + 2xX = -33xX
(-35 + -35X + -33x + -33xX + 2x2 + 1x2 + 2x2X + 1x2X + 1x3 + x3X) = 99

Combine like terms: 2x2 + 1x2 = 3x2
(-35 + -35X + -33x + -33xX + 3x2 + 2x2X + 1x2X + 1x3 + x3X) = 99

Combine like terms: 2x2X + 1x2X = 3x2X
(-35 + -35X + -33x + -33xX + 3x2 + 3x2X + 1x3 + x3X) = 99

Solving
-35 + -35X + -33x + -33xX + 3x2 + 3x2X + 1x3 + x3X = 99

Solving for variable 'X'.

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

Add '35' to each side of the equation.
-35 + -35X + -33x + -33xX + 3x2 + 3x2X + 1x3 + 35 + x3X = 99 + 35

Reorder the terms:
-35 + 35 + -35X + -33x + -33xX + 3x2 + 3x2X + 1x3 + x3X = 99 + 35

Combine like terms: -35 + 35 = 0
0 + -35X + -33x + -33xX + 3x2 + 3x2X + 1x3 + x3X = 99 + 35
-35X + -33x + -33xX + 3x2 + 3x2X + 1x3 + x3X = 99 + 35

Combine like terms: 99 + 35 = 134
-35X + -33x + -33xX + 3x2 + 3x2X + 1x3 + x3X = 134

Add '33x' to each side of the equation.
-35X + -33x + -33xX + 3x2 + 3x2X + 1x3 + 33x + x3X = 134 + 33x

Reorder the terms:
-35X + -33x + 33x + -33xX + 3x2 + 3x2X + 1x3 + x3X = 134 + 33x

Combine like terms: -33x + 33x = 0
-35X + 0 + -33xX + 3x2 + 3x2X + 1x3 + x3X = 134 + 33x
-35X + -33xX + 3x2 + 3x2X + 1x3 + x3X = 134 + 33x

Add '-3x2' to each side of the equation.
-35X + -33xX + 3x2 + 3x2X + 1x3 + -3x2 + x3X = 134 + 33x + -3x2

Reorder the terms:
-35X + -33xX + 3x2 + -3x2 + 3x2X + 1x3 + x3X = 134 + 33x + -3x2

Combine like terms: 3x2 + -3x2 = 0
-35X + -33xX + 0 + 3x2X + 1x3 + x3X = 134 + 33x + -3x2
-35X + -33xX + 3x2X + 1x3 + x3X = 134 + 33x + -3x2

Add '-1x3' to each side of the equation.
-35X + -33xX + 3x2X + 1x3 + -1x3 + x3X = 134 + 33x + -3x2 + -1x3

Combine like terms: 1x3 + -1x3 = 0
-35X + -33xX + 3x2X + 0 + x3X = 134 + 33x + -3x2 + -1x3
-35X + -33xX + 3x2X + x3X = 134 + 33x + -3x2 + -1x3

Reorder the terms:
-134 + -35X + -33x + -33xX + 3x2 + 3x2X + x3 + x3X = 134 + 33x + -3x2 + -1x3 + -134 + -33x + 3x2 + x3

Reorder the terms:
-134 + -35X + -33x + -33xX + 3x2 + 3x2X + x3 + x3X = 134 + -134 + 33x + -33x + -3x2 + 3x2 + -1x3 + x3

Combine like terms: 134 + -134 = 0
-134 + -35X + -33x + -33xX + 3x2 + 3x2X + x3 + x3X = 0 + 33x + -33x + -3x2 + 3x2 + -1x3 + x3
-134 + -35X + -33x + -33xX + 3x2 + 3x2X + x3 + x3X = 33x + -33x + -3x2 + 3x2 + -1x3 + x3

Combine like terms: 33x + -33x = 0
-134 + -35X + -33x + -33xX + 3x2 + 3x2X + x3 + x3X = 0 + -3x2 + 3x2 + -1x3 + x3
-134 + -35X + -33x + -33xX + 3x2 + 3x2X + x3 + x3X = -3x2 + 3x2 + -1x3 + x3

Combine like terms: -3x2 + 3x2 = 0
-134 + -35X + -33x + -33xX + 3x2 + 3x2X + x3 + x3X = 0 + -1x3 + x3
-134 + -35X + -33x + -33xX + 3x2 + 3x2X + x3 + x3X = -1x3 + x3

Combine like terms: -1x3 + x3 = 0
-134 + -35X + -33x + -33xX + 3x2 + 3x2X + x3 + x3X = 0

The solution to this equation could not be determined.

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