(3y+27)(y^2-7y+10)=0

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Solution for (3y+27)(y^2-7y+10)=0 equation: 


Simplifying
(3y + 27)(y2 + -7y + 10) = 0

Reorder the terms:
(27 + 3y)(y2 + -7y + 10) = 0

Reorder the terms:
(27 + 3y)(10 + -7y + y2) = 0

Multiply (27 + 3y) * (10 + -7y + y2)
(27(10 + -7y + y2) + 3y * (10 + -7y + y2)) = 0
((10 * 27 + -7y * 27 + y2 * 27) + 3y * (10 + -7y + y2)) = 0
((270 + -189y + 27y2) + 3y * (10 + -7y + y2)) = 0
(270 + -189y + 27y2 + (10 * 3y + -7y * 3y + y2 * 3y)) = 0
(270 + -189y + 27y2 + (30y + -21y2 + 3y3)) = 0

Reorder the terms:
(270 + -189y + 30y + 27y2 + -21y2 + 3y3) = 0

Combine like terms: -189y + 30y = -159y
(270 + -159y + 27y2 + -21y2 + 3y3) = 0

Combine like terms: 27y2 + -21y2 = 6y2
(270 + -159y + 6y2 + 3y3) = 0

Solving
270 + -159y + 6y2 + 3y3 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '3'.
3(90 + -53y + 2y2 + y3) = 0

Ignore the factor 3.

Subproblem 1
Set the factor '(90 + -53y + 2y2 + y3)' equal to zero and attempt to solve:

Simplifying
90 + -53y + 2y2 + y3 = 0

Solving
90 + -53y + 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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