F(y)=2y^4+6y^3+2y^2+6y

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Solution for F(y)=2y^4+6y^3+2y^2+6y equation:


Simplifying
F(y) = 2y4 + 6y3 + 2y2 + 6y

Multiply F * y
yF = 2y4 + 6y3 + 2y2 + 6y

Reorder the terms:
yF = 6y + 2y2 + 6y3 + 2y4

Solving
yF = 6y + 2y2 + 6y3 + 2y4

Solving for variable 'y'.

Reorder the terms:
-6y + yF + -2y2 + -6y3 + -2y4 = 6y + 2y2 + 6y3 + 2y4 + -6y + -2y2 + -6y3 + -2y4

Reorder the terms:
-6y + yF + -2y2 + -6y3 + -2y4 = 6y + -6y + 2y2 + -2y2 + 6y3 + -6y3 + 2y4 + -2y4

Combine like terms: 6y + -6y = 0
-6y + yF + -2y2 + -6y3 + -2y4 = 0 + 2y2 + -2y2 + 6y3 + -6y3 + 2y4 + -2y4
-6y + yF + -2y2 + -6y3 + -2y4 = 2y2 + -2y2 + 6y3 + -6y3 + 2y4 + -2y4

Combine like terms: 2y2 + -2y2 = 0
-6y + yF + -2y2 + -6y3 + -2y4 = 0 + 6y3 + -6y3 + 2y4 + -2y4
-6y + yF + -2y2 + -6y3 + -2y4 = 6y3 + -6y3 + 2y4 + -2y4

Combine like terms: 6y3 + -6y3 = 0
-6y + yF + -2y2 + -6y3 + -2y4 = 0 + 2y4 + -2y4
-6y + yF + -2y2 + -6y3 + -2y4 = 2y4 + -2y4

Combine like terms: 2y4 + -2y4 = 0
-6y + yF + -2y2 + -6y3 + -2y4 = 0

Factor out the Greatest Common Factor (GCF), 'y'.
y(-6 + F + -2y + -6y2 + -2y3) = 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 '(-6 + F + -2y + -6y2 + -2y3)' equal to zero and attempt to solve: Simplifying -6 + F + -2y + -6y2 + -2y3 = 0 Solving -6 + F + -2y + -6y2 + -2y3 = 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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