x(x+1)(x+7)(x+8)=y^2

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Solution for x(x+1)(x+7)(x+8)=y^2 equation: 


Simplifying
x(x + 1)(x + 7)(x + 8) = y2

Reorder the terms:
x(1 + x)(x + 7)(x + 8) = y2

Reorder the terms:
x(1 + x)(7 + x)(x + 8) = y2

Reorder the terms:
x(1 + x)(7 + x)(8 + x) = y2

Multiply (1 + x) * (7 + x)
x(1(7 + x) + x(7 + x))(8 + x) = y2
x((7 * 1 + x * 1) + x(7 + x))(8 + x) = y2
x((7 + 1x) + x(7 + x))(8 + x) = y2
x(7 + 1x + (7 * x + x * x))(8 + x) = y2
x(7 + 1x + (7x + x2))(8 + x) = y2

Combine like terms: 1x + 7x = 8x
x(7 + 8x + x2)(8 + x) = y2

Multiply (7 + 8x + x2) * (8 + x)
x(7(8 + x) + 8x * (8 + x) + x2(8 + x)) = y2
x((8 * 7 + x * 7) + 8x * (8 + x) + x2(8 + x)) = y2
x((56 + 7x) + 8x * (8 + x) + x2(8 + x)) = y2
x(56 + 7x + (8 * 8x + x * 8x) + x2(8 + x)) = y2
x(56 + 7x + (64x + 8x2) + x2(8 + x)) = y2
x(56 + 7x + 64x + 8x2 + (8 * x2 + x * x2)) = y2
x(56 + 7x + 64x + 8x2 + (8x2 + x3)) = y2

Combine like terms: 7x + 64x = 71x
x(56 + 71x + 8x2 + 8x2 + x3) = y2

Combine like terms: 8x2 + 8x2 = 16x2
x(56 + 71x + 16x2 + x3) = y2
(56 * x + 71x * x + 16x2 * x + x3 * x) = y2
(56x + 71x2 + 16x3 + x4) = y2

Solving
56x + 71x2 + 16x3 + x4 = y2

Solving for variable 'x'.

Combine like terms: y2 + -1y2 = 0
56x + 71x2 + 16x3 + x4 + -1y2 = 0

The solution to this equation could not be determined.

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