(X+9)(x-3)(x-7)(x-5)=385

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Solution for (X+9)(x-3)(x-7)(x-5)=385 equation:


Simplifying
(X + 9)(x + -3)(x + -7)(x + -5) = 385

Reorder the terms:
(9 + X)(x + -3)(x + -7)(x + -5) = 385

Reorder the terms:
(9 + X)(-3 + x)(x + -7)(x + -5) = 385

Reorder the terms:
(9 + X)(-3 + x)(-7 + x)(x + -5) = 385

Reorder the terms:
(9 + X)(-3 + x)(-7 + x)(-5 + x) = 385

Multiply (9 + X) * (-3 + x)
(9(-3 + x) + X(-3 + x))(-7 + x)(-5 + x) = 385
((-3 * 9 + x * 9) + X(-3 + x))(-7 + x)(-5 + x) = 385
((-27 + 9x) + X(-3 + x))(-7 + x)(-5 + x) = 385
(-27 + 9x + (-3 * X + x * X))(-7 + x)(-5 + x) = 385
(-27 + 9x + (-3X + xX))(-7 + x)(-5 + x) = 385

Reorder the terms:
(-27 + -3X + 9x + xX)(-7 + x)(-5 + x) = 385
(-27 + -3X + 9x + xX)(-7 + x)(-5 + x) = 385

Multiply (-27 + -3X + 9x + xX) * (-7 + x)
(-27(-7 + x) + -3X * (-7 + x) + 9x * (-7 + x) + xX(-7 + x))(-5 + x) = 385
((-7 * -27 + x * -27) + -3X * (-7 + x) + 9x * (-7 + x) + xX(-7 + x))(-5 + x) = 385
((189 + -27x) + -3X * (-7 + x) + 9x * (-7 + x) + xX(-7 + x))(-5 + x) = 385
(189 + -27x + (-7 * -3X + x * -3X) + 9x * (-7 + x) + xX(-7 + x))(-5 + x) = 385
(189 + -27x + (21X + -3xX) + 9x * (-7 + x) + xX(-7 + x))(-5 + x) = 385
(189 + -27x + 21X + -3xX + (-7 * 9x + x * 9x) + xX(-7 + x))(-5 + x) = 385
(189 + -27x + 21X + -3xX + (-63x + 9x2) + xX(-7 + x))(-5 + x) = 385
(189 + -27x + 21X + -3xX + -63x + 9x2 + (-7 * xX + x * xX))(-5 + x) = 385
(189 + -27x + 21X + -3xX + -63x + 9x2 + (-7xX + x2X))(-5 + x) = 385

Reorder the terms:
(189 + 21X + -27x + -63x + -3xX + -7xX + 9x2 + x2X)(-5 + x) = 385

Combine like terms: -27x + -63x = -90x
(189 + 21X + -90x + -3xX + -7xX + 9x2 + x2X)(-5 + x) = 385

Combine like terms: -3xX + -7xX = -10xX
(189 + 21X + -90x + -10xX + 9x2 + x2X)(-5 + x) = 385

Multiply (189 + 21X + -90x + -10xX + 9x2 + x2X) * (-5 + x)
(189(-5 + x) + 21X * (-5 + x) + -90x * (-5 + x) + -10xX * (-5 + x) + 9x2 * (-5 + x) + x2X(-5 + x)) = 385
((-5 * 189 + x * 189) + 21X * (-5 + x) + -90x * (-5 + x) + -10xX * (-5 + x) + 9x2 * (-5 + x) + x2X(-5 + x)) = 385
((-945 + 189x) + 21X * (-5 + x) + -90x * (-5 + x) + -10xX * (-5 + x) + 9x2 * (-5 + x) + x2X(-5 + x)) = 385
(-945 + 189x + (-5 * 21X + x * 21X) + -90x * (-5 + x) + -10xX * (-5 + x) + 9x2 * (-5 + x) + x2X(-5 + x)) = 385
(-945 + 189x + (-105X + 21xX) + -90x * (-5 + x) + -10xX * (-5 + x) + 9x2 * (-5 + x) + x2X(-5 + x)) = 385
(-945 + 189x + -105X + 21xX + (-5 * -90x + x * -90x) + -10xX * (-5 + x) + 9x2 * (-5 + x) + x2X(-5 + x)) = 385
(-945 + 189x + -105X + 21xX + (450x + -90x2) + -10xX * (-5 + x) + 9x2 * (-5 + x) + x2X(-5 + x)) = 385
(-945 + 189x + -105X + 21xX + 450x + -90x2 + (-5 * -10xX + x * -10xX) + 9x2 * (-5 + x) + x2X(-5 + x)) = 385
(-945 + 189x + -105X + 21xX + 450x + -90x2 + (50xX + -10x2X) + 9x2 * (-5 + x) + x2X(-5 + x)) = 385
(-945 + 189x + -105X + 21xX + 450x + -90x2 + 50xX + -10x2X + (-5 * 9x2 + x * 9x2) + x2X(-5 + x)) = 385
(-945 + 189x + -105X + 21xX + 450x + -90x2 + 50xX + -10x2X + (-45x2 + 9x3) + x2X(-5 + x)) = 385
(-945 + 189x + -105X + 21xX + 450x + -90x2 + 50xX + -10x2X + -45x2 + 9x3 + (-5 * x2X + x * x2X)) = 385
(-945 + 189x + -105X + 21xX + 450x + -90x2 + 50xX + -10x2X + -45x2 + 9x3 + (-5x2X + x3X)) = 385

Reorder the terms:
(-945 + -105X + 189x + 450x + 21xX + 50xX + -90x2 + -45x2 + -10x2X + -5x2X + 9x3 + x3X) = 385

Combine like terms: 189x + 450x = 639x
(-945 + -105X + 639x + 21xX + 50xX + -90x2 + -45x2 + -10x2X + -5x2X + 9x3 + x3X) = 385

Combine like terms: 21xX + 50xX = 71xX
(-945 + -105X + 639x + 71xX + -90x2 + -45x2 + -10x2X + -5x2X + 9x3 + x3X) = 385

Combine like terms: -90x2 + -45x2 = -135x2
(-945 + -105X + 639x + 71xX + -135x2 + -10x2X + -5x2X + 9x3 + x3X) = 385

Combine like terms: -10x2X + -5x2X = -15x2X
(-945 + -105X + 639x + 71xX + -135x2 + -15x2X + 9x3 + x3X) = 385

Solving
-945 + -105X + 639x + 71xX + -135x2 + -15x2X + 9x3 + x3X = 385

Solving for variable 'X'.

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

Add '945' to each side of the equation.
-945 + -105X + 639x + 71xX + -135x2 + -15x2X + 9x3 + 945 + x3X = 385 + 945

Reorder the terms:
-945 + 945 + -105X + 639x + 71xX + -135x2 + -15x2X + 9x3 + x3X = 385 + 945

Combine like terms: -945 + 945 = 0
0 + -105X + 639x + 71xX + -135x2 + -15x2X + 9x3 + x3X = 385 + 945
-105X + 639x + 71xX + -135x2 + -15x2X + 9x3 + x3X = 385 + 945

Combine like terms: 385 + 945 = 1330
-105X + 639x + 71xX + -135x2 + -15x2X + 9x3 + x3X = 1330

Add '-639x' to each side of the equation.
-105X + 639x + 71xX + -135x2 + -15x2X + 9x3 + -639x + x3X = 1330 + -639x

Reorder the terms:
-105X + 639x + -639x + 71xX + -135x2 + -15x2X + 9x3 + x3X = 1330 + -639x

Combine like terms: 639x + -639x = 0
-105X + 0 + 71xX + -135x2 + -15x2X + 9x3 + x3X = 1330 + -639x
-105X + 71xX + -135x2 + -15x2X + 9x3 + x3X = 1330 + -639x

Add '135x2' to each side of the equation.
-105X + 71xX + -135x2 + -15x2X + 9x3 + 135x2 + x3X = 1330 + -639x + 135x2

Reorder the terms:
-105X + 71xX + -135x2 + 135x2 + -15x2X + 9x3 + x3X = 1330 + -639x + 135x2

Combine like terms: -135x2 + 135x2 = 0
-105X + 71xX + 0 + -15x2X + 9x3 + x3X = 1330 + -639x + 135x2
-105X + 71xX + -15x2X + 9x3 + x3X = 1330 + -639x + 135x2

Add '-9x3' to each side of the equation.
-105X + 71xX + -15x2X + 9x3 + -9x3 + x3X = 1330 + -639x + 135x2 + -9x3

Combine like terms: 9x3 + -9x3 = 0
-105X + 71xX + -15x2X + 0 + x3X = 1330 + -639x + 135x2 + -9x3
-105X + 71xX + -15x2X + x3X = 1330 + -639x + 135x2 + -9x3

Reorder the terms:
-1330 + -105X + 639x + 71xX + -135x2 + -15x2X + 9x3 + x3X = 1330 + -639x + 135x2 + -9x3 + -1330 + 639x + -135x2 + 9x3

Reorder the terms:
-1330 + -105X + 639x + 71xX + -135x2 + -15x2X + 9x3 + x3X = 1330 + -1330 + -639x + 639x + 135x2 + -135x2 + -9x3 + 9x3

Combine like terms: 1330 + -1330 = 0
-1330 + -105X + 639x + 71xX + -135x2 + -15x2X + 9x3 + x3X = 0 + -639x + 639x + 135x2 + -135x2 + -9x3 + 9x3
-1330 + -105X + 639x + 71xX + -135x2 + -15x2X + 9x3 + x3X = -639x + 639x + 135x2 + -135x2 + -9x3 + 9x3

Combine like terms: -639x + 639x = 0
-1330 + -105X + 639x + 71xX + -135x2 + -15x2X + 9x3 + x3X = 0 + 135x2 + -135x2 + -9x3 + 9x3
-1330 + -105X + 639x + 71xX + -135x2 + -15x2X + 9x3 + x3X = 135x2 + -135x2 + -9x3 + 9x3

Combine like terms: 135x2 + -135x2 = 0
-1330 + -105X + 639x + 71xX + -135x2 + -15x2X + 9x3 + x3X = 0 + -9x3 + 9x3
-1330 + -105X + 639x + 71xX + -135x2 + -15x2X + 9x3 + x3X = -9x3 + 9x3

Combine like terms: -9x3 + 9x3 = 0
-1330 + -105X + 639x + 71xX + -135x2 + -15x2X + 9x3 + x3X = 0

The solution to this equation could not be determined.

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