(4D^2-8D+1)y=0

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Solution for (4D^2-8D+1)y=0 equation: 


Simplifying
(4D2 + -8D + 1) * y = 0

Reorder the terms:
(1 + -8D + 4D2) * y = 0

Reorder the terms for easier multiplication:
y(1 + -8D + 4D2) = 0
(1 * y + -8D * y + 4D2 * y) = 0
(1y + -8yD + 4yD2) = 0

Solving
1y + -8yD + 4yD2 = 0

Solving for variable 'y'.

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

Factor out the Greatest Common Factor (GCF), 'y'.
y(1 + -8D + 4D2) = 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 '(1 + -8D + 4D2)' equal to zero and attempt to solve:

Simplifying
1 + -8D + 4D2 = 0

Solving
1 + -8D + 4D2 = 0

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

Add '-1' to each side of the equation.
1 + -8D + -1 + 4D2 = 0 + -1

Reorder the terms:
1 + -1 + -8D + 4D2 = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -8D + 4D2 = 0 + -1
-8D + 4D2 = 0 + -1

Combine like terms: 0 + -1 = -1
-8D + 4D2 = -1

Add '8D' to each side of the equation.
-8D + 8D + 4D2 = -1 + 8D

Combine like terms: -8D + 8D = 0
0 + 4D2 = -1 + 8D
4D2 = -1 + 8D

Add '-4D2' to each side of the equation.
4D2 + -4D2 = -1 + 8D + -4D2

Combine like terms: 4D2 + -4D2 = 0
0 = -1 + 8D + -4D2

Simplifying
0 = -1 + 8D + -4D2

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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