(x-7)(x-3)(x+1)(x+5)=1680

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Solution for (x-7)(x-3)(x+1)(x+5)=1680 equation: 


Simplifying
(x + -7)(x + -3)(x + 1)(x + 5) = 1680

Reorder the terms:
(-7 + x)(x + -3)(x + 1)(x + 5) = 1680

Reorder the terms:
(-7 + x)(-3 + x)(x + 1)(x + 5) = 1680

Reorder the terms:
(-7 + x)(-3 + x)(1 + x)(x + 5) = 1680

Reorder the terms:
(-7 + x)(-3 + x)(1 + x)(5 + x) = 1680

Multiply (-7 + x) * (-3 + x)
(-7(-3 + x) + x(-3 + x))(1 + x)(5 + x) = 1680
((-3 * -7 + x * -7) + x(-3 + x))(1 + x)(5 + x) = 1680
((21 + -7x) + x(-3 + x))(1 + x)(5 + x) = 1680
(21 + -7x + (-3 * x + x * x))(1 + x)(5 + x) = 1680
(21 + -7x + (-3x + x2))(1 + x)(5 + x) = 1680

Combine like terms: -7x + -3x = -10x
(21 + -10x + x2)(1 + x)(5 + x) = 1680

Multiply (21 + -10x + x2) * (1 + x)
(21(1 + x) + -10x * (1 + x) + x2(1 + x))(5 + x) = 1680
((1 * 21 + x * 21) + -10x * (1 + x) + x2(1 + x))(5 + x) = 1680
((21 + 21x) + -10x * (1 + x) + x2(1 + x))(5 + x) = 1680
(21 + 21x + (1 * -10x + x * -10x) + x2(1 + x))(5 + x) = 1680
(21 + 21x + (-10x + -10x2) + x2(1 + x))(5 + x) = 1680
(21 + 21x + -10x + -10x2 + (1 * x2 + x * x2))(5 + x) = 1680
(21 + 21x + -10x + -10x2 + (1x2 + x3))(5 + x) = 1680

Combine like terms: 21x + -10x = 11x
(21 + 11x + -10x2 + 1x2 + x3)(5 + x) = 1680

Combine like terms: -10x2 + 1x2 = -9x2
(21 + 11x + -9x2 + x3)(5 + x) = 1680

Multiply (21 + 11x + -9x2 + x3) * (5 + x)
(21(5 + x) + 11x * (5 + x) + -9x2 * (5 + x) + x3(5 + x)) = 1680
((5 * 21 + x * 21) + 11x * (5 + x) + -9x2 * (5 + x) + x3(5 + x)) = 1680
((105 + 21x) + 11x * (5 + x) + -9x2 * (5 + x) + x3(5 + x)) = 1680
(105 + 21x + (5 * 11x + x * 11x) + -9x2 * (5 + x) + x3(5 + x)) = 1680
(105 + 21x + (55x + 11x2) + -9x2 * (5 + x) + x3(5 + x)) = 1680
(105 + 21x + 55x + 11x2 + (5 * -9x2 + x * -9x2) + x3(5 + x)) = 1680
(105 + 21x + 55x + 11x2 + (-45x2 + -9x3) + x3(5 + x)) = 1680
(105 + 21x + 55x + 11x2 + -45x2 + -9x3 + (5 * x3 + x * x3)) = 1680
(105 + 21x + 55x + 11x2 + -45x2 + -9x3 + (5x3 + x4)) = 1680

Combine like terms: 21x + 55x = 76x
(105 + 76x + 11x2 + -45x2 + -9x3 + 5x3 + x4) = 1680

Combine like terms: 11x2 + -45x2 = -34x2
(105 + 76x + -34x2 + -9x3 + 5x3 + x4) = 1680

Combine like terms: -9x3 + 5x3 = -4x3
(105 + 76x + -34x2 + -4x3 + x4) = 1680

Solving
105 + 76x + -34x2 + -4x3 + x4 = 1680

Solving for variable 'x'.

Reorder the terms:
105 + -1680 + 76x + -34x2 + -4x3 + x4 = 1680 + -1680

Combine like terms: 105 + -1680 = -1575
-1575 + 76x + -34x2 + -4x3 + x4 = 1680 + -1680

Combine like terms: 1680 + -1680 = 0
-1575 + 76x + -34x2 + -4x3 + x4 = 0

The solution to this equation could not be determined.

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