(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 = -261x
(945 + 105X + -261x + 21xX + -50xX + -90x2 + 45x2 + -10x2X + 5x2X + 9x3 + x3X) = 385

Combine like terms: 21xX + -50xX = -29xX
(945 + 105X + -261x + -29xX + -90x2 + 45x2 + -10x2X + 5x2X + 9x3 + x3X) = 385

Combine like terms: -90x2 + 45x2 = -45x2
(945 + 105X + -261x + -29xX + -45x2 + -10x2X + 5x2X + 9x3 + x3X) = 385

Combine like terms: -10x2X + 5x2X = -5x2X
(945 + 105X + -261x + -29xX + -45x2 + -5x2X + 9x3 + x3X) = 385

Solving
945 + 105X + -261x + -29xX + -45x2 + -5x2X + 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 + -261x + -29xX + -45x2 + -5x2X + 9x3 + -945 + x3X = 385 + -945

Reorder the terms:
945 + -945 + 105X + -261x + -29xX + -45x2 + -5x2X + 9x3 + x3X = 385 + -945

Combine like terms: 945 + -945 = 0
0 + 105X + -261x + -29xX + -45x2 + -5x2X + 9x3 + x3X = 385 + -945
105X + -261x + -29xX + -45x2 + -5x2X + 9x3 + x3X = 385 + -945

Combine like terms: 385 + -945 = -560
105X + -261x + -29xX + -45x2 + -5x2X + 9x3 + x3X = -560

Add '261x' to each side of the equation.
105X + -261x + -29xX + -45x2 + -5x2X + 9x3 + 261x + x3X = -560 + 261x

Reorder the terms:
105X + -261x + 261x + -29xX + -45x2 + -5x2X + 9x3 + x3X = -560 + 261x

Combine like terms: -261x + 261x = 0
105X + 0 + -29xX + -45x2 + -5x2X + 9x3 + x3X = -560 + 261x
105X + -29xX + -45x2 + -5x2X + 9x3 + x3X = -560 + 261x

Add '45x2' to each side of the equation.
105X + -29xX + -45x2 + -5x2X + 9x3 + 45x2 + x3X = -560 + 261x + 45x2

Reorder the terms:
105X + -29xX + -45x2 + 45x2 + -5x2X + 9x3 + x3X = -560 + 261x + 45x2

Combine like terms: -45x2 + 45x2 = 0
105X + -29xX + 0 + -5x2X + 9x3 + x3X = -560 + 261x + 45x2
105X + -29xX + -5x2X + 9x3 + x3X = -560 + 261x + 45x2

Add '-9x3' to each side of the equation.
105X + -29xX + -5x2X + 9x3 + -9x3 + x3X = -560 + 261x + 45x2 + -9x3

Combine like terms: 9x3 + -9x3 = 0
105X + -29xX + -5x2X + 0 + x3X = -560 + 261x + 45x2 + -9x3
105X + -29xX + -5x2X + x3X = -560 + 261x + 45x2 + -9x3

Reorder the terms:
560 + 105X + -261x + -29xX + -45x2 + -5x2X + 9x3 + x3X = -560 + 261x + 45x2 + -9x3 + 560 + -261x + -45x2 + 9x3

Reorder the terms:
560 + 105X + -261x + -29xX + -45x2 + -5x2X + 9x3 + x3X = -560 + 560 + 261x + -261x + 45x2 + -45x2 + -9x3 + 9x3

Combine like terms: -560 + 560 = 0
560 + 105X + -261x + -29xX + -45x2 + -5x2X + 9x3 + x3X = 0 + 261x + -261x + 45x2 + -45x2 + -9x3 + 9x3
560 + 105X + -261x + -29xX + -45x2 + -5x2X + 9x3 + x3X = 261x + -261x + 45x2 + -45x2 + -9x3 + 9x3

Combine like terms: 261x + -261x = 0
560 + 105X + -261x + -29xX + -45x2 + -5x2X + 9x3 + x3X = 0 + 45x2 + -45x2 + -9x3 + 9x3
560 + 105X + -261x + -29xX + -45x2 + -5x2X + 9x3 + x3X = 45x2 + -45x2 + -9x3 + 9x3

Combine like terms: 45x2 + -45x2 = 0
560 + 105X + -261x + -29xX + -45x2 + -5x2X + 9x3 + x3X = 0 + -9x3 + 9x3
560 + 105X + -261x + -29xX + -45x2 + -5x2X + 9x3 + x3X = -9x3 + 9x3

Combine like terms: -9x3 + 9x3 = 0
560 + 105X + -261x + -29xX + -45x2 + -5x2X + 9x3 + x3X = 0

The solution to this equation could not be determined.

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