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

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


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

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

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

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

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

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

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

Multiply (21 + -10x + x2) * (5 + x)
(21(5 + x) + -10x * (5 + x) + x2(5 + x))(1 + x) = 1680
((5 * 21 + x * 21) + -10x * (5 + x) + x2(5 + x))(1 + x) = 1680
((105 + 21x) + -10x * (5 + x) + x2(5 + x))(1 + x) = 1680
(105 + 21x + (5 * -10x + x * -10x) + x2(5 + x))(1 + x) = 1680
(105 + 21x + (-50x + -10x2) + x2(5 + x))(1 + x) = 1680
(105 + 21x + -50x + -10x2 + (5 * x2 + x * x2))(1 + x) = 1680
(105 + 21x + -50x + -10x2 + (5x2 + x3))(1 + x) = 1680

Combine like terms: 21x + -50x = -29x
(105 + -29x + -10x2 + 5x2 + x3)(1 + x) = 1680

Combine like terms: -10x2 + 5x2 = -5x2
(105 + -29x + -5x2 + x3)(1 + x) = 1680

Multiply (105 + -29x + -5x2 + x3) * (1 + x)
(105(1 + x) + -29x * (1 + x) + -5x2 * (1 + x) + x3(1 + x)) = 1680
((1 * 105 + x * 105) + -29x * (1 + x) + -5x2 * (1 + x) + x3(1 + x)) = 1680
((105 + 105x) + -29x * (1 + x) + -5x2 * (1 + x) + x3(1 + x)) = 1680
(105 + 105x + (1 * -29x + x * -29x) + -5x2 * (1 + x) + x3(1 + x)) = 1680
(105 + 105x + (-29x + -29x2) + -5x2 * (1 + x) + x3(1 + x)) = 1680
(105 + 105x + -29x + -29x2 + (1 * -5x2 + x * -5x2) + x3(1 + x)) = 1680
(105 + 105x + -29x + -29x2 + (-5x2 + -5x3) + x3(1 + x)) = 1680
(105 + 105x + -29x + -29x2 + -5x2 + -5x3 + (1 * x3 + x * x3)) = 1680
(105 + 105x + -29x + -29x2 + -5x2 + -5x3 + (1x3 + x4)) = 1680

Combine like terms: 105x + -29x = 76x
(105 + 76x + -29x2 + -5x2 + -5x3 + 1x3 + x4) = 1680

Combine like terms: -29x2 + -5x2 = -34x2
(105 + 76x + -34x2 + -5x3 + 1x3 + x4) = 1680

Combine like terms: -5x3 + 1x3 = -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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