2y^224-6y=y^2-4y

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Solution for 2y^224-6y=y^2-4y equation: 


Simplifying
2y224 + -6y = y2 + -4y

Reorder the terms:
-6y + 2y224 = y2 + -4y

Reorder the terms:
-6y + 2y224 = -4y + y2

Solving
-6y + 2y224 = -4y + y2

Solving for variable 'y'.

Reorder the terms:
-6y + 4y + -1y2 + 2y224 = -4y + y2 + 4y + -1y2

Combine like terms: -6y + 4y = -2y
-2y + -1y2 + 2y224 = -4y + y2 + 4y + -1y2

Reorder the terms:
-2y + -1y2 + 2y224 = -4y + 4y + y2 + -1y2

Combine like terms: -4y + 4y = 0
-2y + -1y2 + 2y224 = 0 + y2 + -1y2
-2y + -1y2 + 2y224 = y2 + -1y2

Combine like terms: y2 + -1y2 = 0
-2y + -1y2 + 2y224 = 0

Factor out the Greatest Common Factor (GCF), 'y'.
y(-2 + -1y + 2y223) = 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 '(-2 + -1y + 2y223)' equal to zero and attempt to solve:

Simplifying
-2 + -1y + 2y223 = 0

Solving
-2 + -1y + 2y223 = 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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