(y^2+5y+2)(6y-4)=

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Solution for (y^2+5y+2)(6y-4)= equation:


Simplifying
(y2 + 5y + 2)(6y + -4) = 0

Reorder the terms:
(2 + 5y + y2)(6y + -4) = 0

Reorder the terms:
(2 + 5y + y2)(-4 + 6y) = 0

Multiply (2 + 5y + y2) * (-4 + 6y)
(2(-4 + 6y) + 5y * (-4 + 6y) + y2(-4 + 6y)) = 0
((-4 * 2 + 6y * 2) + 5y * (-4 + 6y) + y2(-4 + 6y)) = 0
((-8 + 12y) + 5y * (-4 + 6y) + y2(-4 + 6y)) = 0
(-8 + 12y + (-4 * 5y + 6y * 5y) + y2(-4 + 6y)) = 0
(-8 + 12y + (-20y + 30y2) + y2(-4 + 6y)) = 0
(-8 + 12y + -20y + 30y2 + (-4 * y2 + 6y * y2)) = 0
(-8 + 12y + -20y + 30y2 + (-4y2 + 6y3)) = 0

Combine like terms: 12y + -20y = -8y
(-8 + -8y + 30y2 + -4y2 + 6y3) = 0

Combine like terms: 30y2 + -4y2 = 26y2
(-8 + -8y + 26y2 + 6y3) = 0

Solving
-8 + -8y + 26y2 + 6y3 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-4 + -4y + 13y2 + 3y3) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(-4 + -4y + 13y2 + 3y3)' equal to zero and attempt to solve: Simplifying -4 + -4y + 13y2 + 3y3 = 0 Solving -4 + -4y + 13y2 + 3y3 = 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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