(y^2-7)(7y^2-5y+8)=1

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Solution for (y^2-7)(7y^2-5y+8)=1 equation: 


Simplifying
(y2 + -7)(7y2 + -5y + 8) = 1

Reorder the terms:
(-7 + y2)(7y2 + -5y + 8) = 1

Reorder the terms:
(-7 + y2)(8 + -5y + 7y2) = 1

Multiply (-7 + y2) * (8 + -5y + 7y2)
(-7(8 + -5y + 7y2) + y2(8 + -5y + 7y2)) = 1
((8 * -7 + -5y * -7 + 7y2 * -7) + y2(8 + -5y + 7y2)) = 1
((-56 + 35y + -49y2) + y2(8 + -5y + 7y2)) = 1
(-56 + 35y + -49y2 + (8 * y2 + -5y * y2 + 7y2 * y2)) = 1
(-56 + 35y + -49y2 + (8y2 + -5y3 + 7y4)) = 1

Combine like terms: -49y2 + 8y2 = -41y2
(-56 + 35y + -41y2 + -5y3 + 7y4) = 1

Solving
-56 + 35y + -41y2 + -5y3 + 7y4 = 1

Solving for variable 'y'.

Reorder the terms:
-56 + -1 + 35y + -41y2 + -5y3 + 7y4 = 1 + -1

Combine like terms: -56 + -1 = -57
-57 + 35y + -41y2 + -5y3 + 7y4 = 1 + -1

Combine like terms: 1 + -1 = 0
-57 + 35y + -41y2 + -5y3 + 7y4 = 0

The solution to this equation could not be determined.

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