(X-5)(x+4)(x-7)(x+6)-505=0

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Solution for (X-5)(x+4)(x-7)(x+6)-505=0 equation:


Simplifying
(X + -5)(x + 4)(x + -7)(x + 6) + -505 = 0

Reorder the terms:
(-5 + X)(x + 4)(x + -7)(x + 6) + -505 = 0

Reorder the terms:
(-5 + X)(4 + x)(x + -7)(x + 6) + -505 = 0

Reorder the terms:
(-5 + X)(4 + x)(-7 + x)(x + 6) + -505 = 0

Reorder the terms:
(-5 + X)(4 + x)(-7 + x)(6 + x) + -505 = 0

Multiply (-5 + X) * (4 + x)
(-5(4 + x) + X(4 + x))(-7 + x)(6 + x) + -505 = 0
((4 * -5 + x * -5) + X(4 + x))(-7 + x)(6 + x) + -505 = 0
((-20 + -5x) + X(4 + x))(-7 + x)(6 + x) + -505 = 0
(-20 + -5x + (4 * X + x * X))(-7 + x)(6 + x) + -505 = 0
(-20 + -5x + (4X + xX))(-7 + x)(6 + x) + -505 = 0

Reorder the terms:
(-20 + 4X + -5x + xX)(-7 + x)(6 + x) + -505 = 0
(-20 + 4X + -5x + xX)(-7 + x)(6 + x) + -505 = 0

Multiply (-20 + 4X + -5x + xX) * (-7 + x)
(-20(-7 + x) + 4X * (-7 + x) + -5x * (-7 + x) + xX(-7 + x))(6 + x) + -505 = 0
((-7 * -20 + x * -20) + 4X * (-7 + x) + -5x * (-7 + x) + xX(-7 + x))(6 + x) + -505 = 0
((140 + -20x) + 4X * (-7 + x) + -5x * (-7 + x) + xX(-7 + x))(6 + x) + -505 = 0
(140 + -20x + (-7 * 4X + x * 4X) + -5x * (-7 + x) + xX(-7 + x))(6 + x) + -505 = 0
(140 + -20x + (-28X + 4xX) + -5x * (-7 + x) + xX(-7 + x))(6 + x) + -505 = 0
(140 + -20x + -28X + 4xX + (-7 * -5x + x * -5x) + xX(-7 + x))(6 + x) + -505 = 0
(140 + -20x + -28X + 4xX + (35x + -5x2) + xX(-7 + x))(6 + x) + -505 = 0
(140 + -20x + -28X + 4xX + 35x + -5x2 + (-7 * xX + x * xX))(6 + x) + -505 = 0
(140 + -20x + -28X + 4xX + 35x + -5x2 + (-7xX + x2X))(6 + x) + -505 = 0

Reorder the terms:
(140 + -28X + -20x + 35x + 4xX + -7xX + -5x2 + x2X)(6 + x) + -505 = 0

Combine like terms: -20x + 35x = 15x
(140 + -28X + 15x + 4xX + -7xX + -5x2 + x2X)(6 + x) + -505 = 0

Combine like terms: 4xX + -7xX = -3xX
(140 + -28X + 15x + -3xX + -5x2 + x2X)(6 + x) + -505 = 0

Multiply (140 + -28X + 15x + -3xX + -5x2 + x2X) * (6 + x)
(140(6 + x) + -28X * (6 + x) + 15x * (6 + x) + -3xX * (6 + x) + -5x2 * (6 + x) + x2X(6 + x)) + -505 = 0
((6 * 140 + x * 140) + -28X * (6 + x) + 15x * (6 + x) + -3xX * (6 + x) + -5x2 * (6 + x) + x2X(6 + x)) + -505 = 0
((840 + 140x) + -28X * (6 + x) + 15x * (6 + x) + -3xX * (6 + x) + -5x2 * (6 + x) + x2X(6 + x)) + -505 = 0
(840 + 140x + (6 * -28X + x * -28X) + 15x * (6 + x) + -3xX * (6 + x) + -5x2 * (6 + x) + x2X(6 + x)) + -505 = 0
(840 + 140x + (-168X + -28xX) + 15x * (6 + x) + -3xX * (6 + x) + -5x2 * (6 + x) + x2X(6 + x)) + -505 = 0
(840 + 140x + -168X + -28xX + (6 * 15x + x * 15x) + -3xX * (6 + x) + -5x2 * (6 + x) + x2X(6 + x)) + -505 = 0
(840 + 140x + -168X + -28xX + (90x + 15x2) + -3xX * (6 + x) + -5x2 * (6 + x) + x2X(6 + x)) + -505 = 0
(840 + 140x + -168X + -28xX + 90x + 15x2 + (6 * -3xX + x * -3xX) + -5x2 * (6 + x) + x2X(6 + x)) + -505 = 0
(840 + 140x + -168X + -28xX + 90x + 15x2 + (-18xX + -3x2X) + -5x2 * (6 + x) + x2X(6 + x)) + -505 = 0
(840 + 140x + -168X + -28xX + 90x + 15x2 + -18xX + -3x2X + (6 * -5x2 + x * -5x2) + x2X(6 + x)) + -505 = 0
(840 + 140x + -168X + -28xX + 90x + 15x2 + -18xX + -3x2X + (-30x2 + -5x3) + x2X(6 + x)) + -505 = 0
(840 + 140x + -168X + -28xX + 90x + 15x2 + -18xX + -3x2X + -30x2 + -5x3 + (6 * x2X + x * x2X)) + -505 = 0
(840 + 140x + -168X + -28xX + 90x + 15x2 + -18xX + -3x2X + -30x2 + -5x3 + (6x2X + x3X)) + -505 = 0

Reorder the terms:
(840 + -168X + 140x + 90x + -28xX + -18xX + 15x2 + -30x2 + -3x2X + 6x2X + -5x3 + x3X) + -505 = 0

Combine like terms: 140x + 90x = 230x
(840 + -168X + 230x + -28xX + -18xX + 15x2 + -30x2 + -3x2X + 6x2X + -5x3 + x3X) + -505 = 0

Combine like terms: -28xX + -18xX = -46xX
(840 + -168X + 230x + -46xX + 15x2 + -30x2 + -3x2X + 6x2X + -5x3 + x3X) + -505 = 0

Combine like terms: 15x2 + -30x2 = -15x2
(840 + -168X + 230x + -46xX + -15x2 + -3x2X + 6x2X + -5x3 + x3X) + -505 = 0

Combine like terms: -3x2X + 6x2X = 3x2X
(840 + -168X + 230x + -46xX + -15x2 + 3x2X + -5x3 + x3X) + -505 = 0

Reorder the terms:
840 + -505 + -168X + 230x + -46xX + -15x2 + 3x2X + -5x3 + x3X = 0

Combine like terms: 840 + -505 = 335
335 + -168X + 230x + -46xX + -15x2 + 3x2X + -5x3 + x3X = 0

Solving
335 + -168X + 230x + -46xX + -15x2 + 3x2X + -5x3 + x3X = 0

Solving for variable 'X'.

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

Add '-335' to each side of the equation.
335 + -168X + 230x + -46xX + -15x2 + 3x2X + -5x3 + -335 + x3X = 0 + -335

Reorder the terms:
335 + -335 + -168X + 230x + -46xX + -15x2 + 3x2X + -5x3 + x3X = 0 + -335

Combine like terms: 335 + -335 = 0
0 + -168X + 230x + -46xX + -15x2 + 3x2X + -5x3 + x3X = 0 + -335
-168X + 230x + -46xX + -15x2 + 3x2X + -5x3 + x3X = 0 + -335

Combine like terms: 0 + -335 = -335
-168X + 230x + -46xX + -15x2 + 3x2X + -5x3 + x3X = -335

Add '-230x' to each side of the equation.
-168X + 230x + -46xX + -15x2 + 3x2X + -5x3 + -230x + x3X = -335 + -230x

Reorder the terms:
-168X + 230x + -230x + -46xX + -15x2 + 3x2X + -5x3 + x3X = -335 + -230x

Combine like terms: 230x + -230x = 0
-168X + 0 + -46xX + -15x2 + 3x2X + -5x3 + x3X = -335 + -230x
-168X + -46xX + -15x2 + 3x2X + -5x3 + x3X = -335 + -230x

Add '15x2' to each side of the equation.
-168X + -46xX + -15x2 + 3x2X + -5x3 + 15x2 + x3X = -335 + -230x + 15x2

Reorder the terms:
-168X + -46xX + -15x2 + 15x2 + 3x2X + -5x3 + x3X = -335 + -230x + 15x2

Combine like terms: -15x2 + 15x2 = 0
-168X + -46xX + 0 + 3x2X + -5x3 + x3X = -335 + -230x + 15x2
-168X + -46xX + 3x2X + -5x3 + x3X = -335 + -230x + 15x2

Add '5x3' to each side of the equation.
-168X + -46xX + 3x2X + -5x3 + 5x3 + x3X = -335 + -230x + 15x2 + 5x3

Combine like terms: -5x3 + 5x3 = 0
-168X + -46xX + 3x2X + 0 + x3X = -335 + -230x + 15x2 + 5x3
-168X + -46xX + 3x2X + x3X = -335 + -230x + 15x2 + 5x3

Reorder the terms:
335 + -168X + 230x + -46xX + -15x2 + 3x2X + -5x3 + x3X = -335 + -230x + 15x2 + 5x3 + 335 + 230x + -15x2 + -5x3

Reorder the terms:
335 + -168X + 230x + -46xX + -15x2 + 3x2X + -5x3 + x3X = -335 + 335 + -230x + 230x + 15x2 + -15x2 + 5x3 + -5x3

Combine like terms: -335 + 335 = 0
335 + -168X + 230x + -46xX + -15x2 + 3x2X + -5x3 + x3X = 0 + -230x + 230x + 15x2 + -15x2 + 5x3 + -5x3
335 + -168X + 230x + -46xX + -15x2 + 3x2X + -5x3 + x3X = -230x + 230x + 15x2 + -15x2 + 5x3 + -5x3

Combine like terms: -230x + 230x = 0
335 + -168X + 230x + -46xX + -15x2 + 3x2X + -5x3 + x3X = 0 + 15x2 + -15x2 + 5x3 + -5x3
335 + -168X + 230x + -46xX + -15x2 + 3x2X + -5x3 + x3X = 15x2 + -15x2 + 5x3 + -5x3

Combine like terms: 15x2 + -15x2 = 0
335 + -168X + 230x + -46xX + -15x2 + 3x2X + -5x3 + x3X = 0 + 5x3 + -5x3
335 + -168X + 230x + -46xX + -15x2 + 3x2X + -5x3 + x3X = 5x3 + -5x3

Combine like terms: 5x3 + -5x3 = 0
335 + -168X + 230x + -46xX + -15x2 + 3x2X + -5x3 + x3X = 0

The solution to this equation could not be determined.

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