(7y^2-4y+1)(8y^2-6y)=

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Solution for (7y^2-4y+1)(8y^2-6y)= equation: 


Simplifying
(7y2 + -4y + 1)(8y2 + -6y) = 0

Reorder the terms:
(1 + -4y + 7y2)(8y2 + -6y) = 0

Reorder the terms:
(1 + -4y + 7y2)(-6y + 8y2) = 0

Multiply (1 + -4y + 7y2) * (-6y + 8y2)
(1(-6y + 8y2) + -4y * (-6y + 8y2) + 7y2 * (-6y + 8y2)) = 0
((-6y * 1 + 8y2 * 1) + -4y * (-6y + 8y2) + 7y2 * (-6y + 8y2)) = 0
((-6y + 8y2) + -4y * (-6y + 8y2) + 7y2 * (-6y + 8y2)) = 0
(-6y + 8y2 + (-6y * -4y + 8y2 * -4y) + 7y2 * (-6y + 8y2)) = 0
(-6y + 8y2 + (24y2 + -32y3) + 7y2 * (-6y + 8y2)) = 0
(-6y + 8y2 + 24y2 + -32y3 + (-6y * 7y2 + 8y2 * 7y2)) = 0
(-6y + 8y2 + 24y2 + -32y3 + (-42y3 + 56y4)) = 0

Combine like terms: 8y2 + 24y2 = 32y2
(-6y + 32y2 + -32y3 + -42y3 + 56y4) = 0

Combine like terms: -32y3 + -42y3 = -74y3
(-6y + 32y2 + -74y3 + 56y4) = 0

Solving
-6y + 32y2 + -74y3 + 56y4 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '2y'.
2y(-3 + 16y + -37y2 + 28y3) = 0

Ignore the factor 2.

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 + 16y + -37y2 + 28y3)' equal to zero and attempt to solve:

Simplifying
-3 + 16y + -37y2 + 28y3 = 0

Solving
-3 + 16y + -37y2 + 28y3 = 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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