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

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


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

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

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

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

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

Multiply (-3 + x) * (9 + x)
(-3(9 + x) + x(9 + x))(5 + x)(-7 + x) = 385
((9 * -3 + x * -3) + x(9 + x))(5 + x)(-7 + x) = 385
((-27 + -3x) + x(9 + x))(5 + x)(-7 + x) = 385
(-27 + -3x + (9 * x + x * x))(5 + x)(-7 + x) = 385
(-27 + -3x + (9x + x2))(5 + x)(-7 + x) = 385

Combine like terms: -3x + 9x = 6x
(-27 + 6x + x2)(5 + x)(-7 + x) = 385

Multiply (-27 + 6x + x2) * (5 + x)
(-27(5 + x) + 6x * (5 + x) + x2(5 + x))(-7 + x) = 385
((5 * -27 + x * -27) + 6x * (5 + x) + x2(5 + x))(-7 + x) = 385
((-135 + -27x) + 6x * (5 + x) + x2(5 + x))(-7 + x) = 385
(-135 + -27x + (5 * 6x + x * 6x) + x2(5 + x))(-7 + x) = 385
(-135 + -27x + (30x + 6x2) + x2(5 + x))(-7 + x) = 385
(-135 + -27x + 30x + 6x2 + (5 * x2 + x * x2))(-7 + x) = 385
(-135 + -27x + 30x + 6x2 + (5x2 + x3))(-7 + x) = 385

Combine like terms: -27x + 30x = 3x
(-135 + 3x + 6x2 + 5x2 + x3)(-7 + x) = 385

Combine like terms: 6x2 + 5x2 = 11x2
(-135 + 3x + 11x2 + x3)(-7 + x) = 385

Multiply (-135 + 3x + 11x2 + x3) * (-7 + x)
(-135(-7 + x) + 3x * (-7 + x) + 11x2 * (-7 + x) + x3(-7 + x)) = 385
((-7 * -135 + x * -135) + 3x * (-7 + x) + 11x2 * (-7 + x) + x3(-7 + x)) = 385
((945 + -135x) + 3x * (-7 + x) + 11x2 * (-7 + x) + x3(-7 + x)) = 385
(945 + -135x + (-7 * 3x + x * 3x) + 11x2 * (-7 + x) + x3(-7 + x)) = 385
(945 + -135x + (-21x + 3x2) + 11x2 * (-7 + x) + x3(-7 + x)) = 385
(945 + -135x + -21x + 3x2 + (-7 * 11x2 + x * 11x2) + x3(-7 + x)) = 385
(945 + -135x + -21x + 3x2 + (-77x2 + 11x3) + x3(-7 + x)) = 385
(945 + -135x + -21x + 3x2 + -77x2 + 11x3 + (-7 * x3 + x * x3)) = 385
(945 + -135x + -21x + 3x2 + -77x2 + 11x3 + (-7x3 + x4)) = 385

Combine like terms: -135x + -21x = -156x
(945 + -156x + 3x2 + -77x2 + 11x3 + -7x3 + x4) = 385

Combine like terms: 3x2 + -77x2 = -74x2
(945 + -156x + -74x2 + 11x3 + -7x3 + x4) = 385

Combine like terms: 11x3 + -7x3 = 4x3
(945 + -156x + -74x2 + 4x3 + x4) = 385

Solving
945 + -156x + -74x2 + 4x3 + x4 = 385

Solving for variable 'x'.

Reorder the terms:
945 + -385 + -156x + -74x2 + 4x3 + x4 = 385 + -385

Combine like terms: 945 + -385 = 560
560 + -156x + -74x2 + 4x3 + x4 = 385 + -385

Combine like terms: 385 + -385 = 0
560 + -156x + -74x2 + 4x3 + x4 = 0

The solution to this equation could not be determined.

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