(3y-27)(y^2+8y+15)=0

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Solution for (3y-27)(y^2+8y+15)=0 equation:


Simplifying
(3y + -27)(y2 + 8y + 15) = 0

Reorder the terms:
(-27 + 3y)(y2 + 8y + 15) = 0

Reorder the terms:
(-27 + 3y)(15 + 8y + y2) = 0

Multiply (-27 + 3y) * (15 + 8y + y2)
(-27(15 + 8y + y2) + 3y * (15 + 8y + y2)) = 0
((15 * -27 + 8y * -27 + y2 * -27) + 3y * (15 + 8y + y2)) = 0
((-405 + -216y + -27y2) + 3y * (15 + 8y + y2)) = 0
(-405 + -216y + -27y2 + (15 * 3y + 8y * 3y + y2 * 3y)) = 0
(-405 + -216y + -27y2 + (45y + 24y2 + 3y3)) = 0

Reorder the terms:
(-405 + -216y + 45y + -27y2 + 24y2 + 3y3) = 0

Combine like terms: -216y + 45y = -171y
(-405 + -171y + -27y2 + 24y2 + 3y3) = 0

Combine like terms: -27y2 + 24y2 = -3y2
(-405 + -171y + -3y2 + 3y3) = 0

Solving
-405 + -171y + -3y2 + 3y3 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '3'.
3(-135 + -57y + -1y2 + y3) = 0

Ignore the factor 3.

Subproblem 1

Set the factor '(-135 + -57y + -1y2 + y3)' equal to zero and attempt to solve: Simplifying -135 + -57y + -1y2 + y3 = 0 Solving -135 + -57y + -1y2 + 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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