-6(y+3)(y-5)(2y+7)=0

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Solution for -6(y+3)(y-5)(2y+7)=0 equation: 


Simplifying
-6(y + 3)(y + -5)(2y + 7) = 0

Reorder the terms:
-6(3 + y)(y + -5)(2y + 7) = 0

Reorder the terms:
-6(3 + y)(-5 + y)(2y + 7) = 0

Reorder the terms:
-6(3 + y)(-5 + y)(7 + 2y) = 0

Multiply (3 + y) * (-5 + y)
-6(3(-5 + y) + y(-5 + y))(7 + 2y) = 0
-6((-5 * 3 + y * 3) + y(-5 + y))(7 + 2y) = 0
-6((-15 + 3y) + y(-5 + y))(7 + 2y) = 0
-6(-15 + 3y + (-5 * y + y * y))(7 + 2y) = 0
-6(-15 + 3y + (-5y + y2))(7 + 2y) = 0

Combine like terms: 3y + -5y = -2y
-6(-15 + -2y + y2)(7 + 2y) = 0

Multiply (-15 + -2y + y2) * (7 + 2y)
-6(-15(7 + 2y) + -2y * (7 + 2y) + y2(7 + 2y)) = 0
-6((7 * -15 + 2y * -15) + -2y * (7 + 2y) + y2(7 + 2y)) = 0
-6((-105 + -30y) + -2y * (7 + 2y) + y2(7 + 2y)) = 0
-6(-105 + -30y + (7 * -2y + 2y * -2y) + y2(7 + 2y)) = 0
-6(-105 + -30y + (-14y + -4y2) + y2(7 + 2y)) = 0
-6(-105 + -30y + -14y + -4y2 + (7 * y2 + 2y * y2)) = 0
-6(-105 + -30y + -14y + -4y2 + (7y2 + 2y3)) = 0

Combine like terms: -30y + -14y = -44y
-6(-105 + -44y + -4y2 + 7y2 + 2y3) = 0

Combine like terms: -4y2 + 7y2 = 3y2
-6(-105 + -44y + 3y2 + 2y3) = 0
(-105 * -6 + -44y * -6 + 3y2 * -6 + 2y3 * -6) = 0
(630 + 264y + -18y2 + -12y3) = 0

Solving
630 + 264y + -18y2 + -12y3 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '6'.
6(105 + 44y + -3y2 + -2y3) = 0

Ignore the factor 6.

Subproblem 1
Set the factor '(105 + 44y + -3y2 + -2y3)' equal to zero and attempt to solve:

Simplifying
105 + 44y + -3y2 + -2y3 = 0

Solving
105 + 44y + -3y2 + -2y3 = 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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