(y^2-6y+5)(8y+32)=0

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Solution for (y^2-6y+5)(8y+32)=0 equation: 


Simplifying
(y2 + -6y + 5)(8y + 32) = 0

Reorder the terms:
(5 + -6y + y2)(8y + 32) = 0

Reorder the terms:
(5 + -6y + y2)(32 + 8y) = 0

Multiply (5 + -6y + y2) * (32 + 8y)
(5(32 + 8y) + -6y * (32 + 8y) + y2(32 + 8y)) = 0
((32 * 5 + 8y * 5) + -6y * (32 + 8y) + y2(32 + 8y)) = 0
((160 + 40y) + -6y * (32 + 8y) + y2(32 + 8y)) = 0
(160 + 40y + (32 * -6y + 8y * -6y) + y2(32 + 8y)) = 0
(160 + 40y + (-192y + -48y2) + y2(32 + 8y)) = 0
(160 + 40y + -192y + -48y2 + (32 * y2 + 8y * y2)) = 0
(160 + 40y + -192y + -48y2 + (32y2 + 8y3)) = 0

Combine like terms: 40y + -192y = -152y
(160 + -152y + -48y2 + 32y2 + 8y3) = 0

Combine like terms: -48y2 + 32y2 = -16y2
(160 + -152y + -16y2 + 8y3) = 0

Solving
160 + -152y + -16y2 + 8y3 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '8'.
8(20 + -19y + -2y2 + y3) = 0

Ignore the factor 8.

Subproblem 1
Set the factor '(20 + -19y + -2y2 + y3)' equal to zero and attempt to solve:

Simplifying
20 + -19y + -2y2 + y3 = 0

Solving
20 + -19y + -2y2 + y3 = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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