2y(3y-10)+4y=2y^22

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Solution for 2y(3y-10)+4y=2y^22 equation: 


Simplifying
2y(3y + -10) + 4y = 2y22

Reorder the terms:
2y(-10 + 3y) + 4y = 2y22
(-10 * 2y + 3y * 2y) + 4y = 2y22
(-20y + 6y2) + 4y = 2y22

Reorder the terms:
-20y + 4y + 6y2 = 2y22

Combine like terms: -20y + 4y = -16y
-16y + 6y2 = 2y22

Solving
-16y + 6y2 = 2y22

Solving for variable 'y'.

Combine like terms: 2y22 + -2y22 = 0
-16y + 6y2 + -2y22 = 0

Factor out the Greatest Common Factor (GCF), '2y'.
2y(-8 + 3y + -1y21) = 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 '(-8 + 3y + -1y21)' equal to zero and attempt to solve:

Simplifying
-8 + 3y + -1y21 = 0

Solving
-8 + 3y + -1y21 = 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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