(4y^2+3y)(2y^2-y+1)=

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Solution for (4y^2+3y)(2y^2-y+1)= equation: 


Simplifying
(4y2 + 3y)(2y2 + -1y + 1) = 0

Reorder the terms:
(3y + 4y2)(2y2 + -1y + 1) = 0

Reorder the terms:
(3y + 4y2)(1 + -1y + 2y2) = 0

Multiply (3y + 4y2) * (1 + -1y + 2y2)
(3y * (1 + -1y + 2y2) + 4y2 * (1 + -1y + 2y2)) = 0
((1 * 3y + -1y * 3y + 2y2 * 3y) + 4y2 * (1 + -1y + 2y2)) = 0
((3y + -3y2 + 6y3) + 4y2 * (1 + -1y + 2y2)) = 0
(3y + -3y2 + 6y3 + (1 * 4y2 + -1y * 4y2 + 2y2 * 4y2)) = 0
(3y + -3y2 + 6y3 + (4y2 + -4y3 + 8y4)) = 0

Reorder the terms:
(3y + -3y2 + 4y2 + 6y3 + -4y3 + 8y4) = 0

Combine like terms: -3y2 + 4y2 = 1y2
(3y + 1y2 + 6y3 + -4y3 + 8y4) = 0

Combine like terms: 6y3 + -4y3 = 2y3
(3y + 1y2 + 2y3 + 8y4) = 0

Solving
3y + 1y2 + 2y3 + 8y4 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), 'y'.
y(3 + y + 2y2 + 8y3) = 0


Subproblem 1
Set the factor 'y' equal to zero and attempt to solve:

Simplifying
y = 0

Solving
y = 0

Move all terms containing y to the left, all other terms to the right.

Simplifying
y = 0

Subproblem 2
Set the factor '(3 + y + 2y2 + 8y3)' equal to zero and attempt to solve:

Simplifying
3 + y + 2y2 + 8y3 = 0

Solving
3 + y + 2y2 + 8y3 = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
y = {0}

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