(x-7)(x-5)(x+4)(x+6)=608

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Solution for (x-7)(x-5)(x+4)(x+6)=608 equation: 


Simplifying
(x + -7)(x + -5)(x + 4)(x + 6) = 608

Reorder the terms:
(-7 + x)(x + -5)(x + 4)(x + 6) = 608

Reorder the terms:
(-7 + x)(-5 + x)(x + 4)(x + 6) = 608

Reorder the terms:
(-7 + x)(-5 + x)(4 + x)(x + 6) = 608

Reorder the terms:
(-7 + x)(-5 + x)(4 + x)(6 + x) = 608

Multiply (-7 + x) * (-5 + x)
(-7(-5 + x) + x(-5 + x))(4 + x)(6 + x) = 608
((-5 * -7 + x * -7) + x(-5 + x))(4 + x)(6 + x) = 608
((35 + -7x) + x(-5 + x))(4 + x)(6 + x) = 608
(35 + -7x + (-5 * x + x * x))(4 + x)(6 + x) = 608
(35 + -7x + (-5x + x2))(4 + x)(6 + x) = 608

Combine like terms: -7x + -5x = -12x
(35 + -12x + x2)(4 + x)(6 + x) = 608

Multiply (35 + -12x + x2) * (4 + x)
(35(4 + x) + -12x * (4 + x) + x2(4 + x))(6 + x) = 608
((4 * 35 + x * 35) + -12x * (4 + x) + x2(4 + x))(6 + x) = 608
((140 + 35x) + -12x * (4 + x) + x2(4 + x))(6 + x) = 608
(140 + 35x + (4 * -12x + x * -12x) + x2(4 + x))(6 + x) = 608
(140 + 35x + (-48x + -12x2) + x2(4 + x))(6 + x) = 608
(140 + 35x + -48x + -12x2 + (4 * x2 + x * x2))(6 + x) = 608
(140 + 35x + -48x + -12x2 + (4x2 + x3))(6 + x) = 608

Combine like terms: 35x + -48x = -13x
(140 + -13x + -12x2 + 4x2 + x3)(6 + x) = 608

Combine like terms: -12x2 + 4x2 = -8x2
(140 + -13x + -8x2 + x3)(6 + x) = 608

Multiply (140 + -13x + -8x2 + x3) * (6 + x)
(140(6 + x) + -13x * (6 + x) + -8x2 * (6 + x) + x3(6 + x)) = 608
((6 * 140 + x * 140) + -13x * (6 + x) + -8x2 * (6 + x) + x3(6 + x)) = 608
((840 + 140x) + -13x * (6 + x) + -8x2 * (6 + x) + x3(6 + x)) = 608
(840 + 140x + (6 * -13x + x * -13x) + -8x2 * (6 + x) + x3(6 + x)) = 608
(840 + 140x + (-78x + -13x2) + -8x2 * (6 + x) + x3(6 + x)) = 608
(840 + 140x + -78x + -13x2 + (6 * -8x2 + x * -8x2) + x3(6 + x)) = 608
(840 + 140x + -78x + -13x2 + (-48x2 + -8x3) + x3(6 + x)) = 608
(840 + 140x + -78x + -13x2 + -48x2 + -8x3 + (6 * x3 + x * x3)) = 608
(840 + 140x + -78x + -13x2 + -48x2 + -8x3 + (6x3 + x4)) = 608

Combine like terms: 140x + -78x = 62x
(840 + 62x + -13x2 + -48x2 + -8x3 + 6x3 + x4) = 608

Combine like terms: -13x2 + -48x2 = -61x2
(840 + 62x + -61x2 + -8x3 + 6x3 + x4) = 608

Combine like terms: -8x3 + 6x3 = -2x3
(840 + 62x + -61x2 + -2x3 + x4) = 608

Solving
840 + 62x + -61x2 + -2x3 + x4 = 608

Solving for variable 'x'.

Reorder the terms:
840 + -608 + 62x + -61x2 + -2x3 + x4 = 608 + -608

Combine like terms: 840 + -608 = 232
232 + 62x + -61x2 + -2x3 + x4 = 608 + -608

Combine like terms: 608 + -608 = 0
232 + 62x + -61x2 + -2x3 + x4 = 0

The solution to this equation could not be determined.

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