8y^2(y^2-4y+5)=0

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Solution for 8y^2(y^2-4y+5)=0 equation: 


Simplifying
8y2(y2 + -4y + 5) = 0

Reorder the terms:
8y2(5 + -4y + y2) = 0
(5 * 8y2 + -4y * 8y2 + y2 * 8y2) = 0
(40y2 + -32y3 + 8y4) = 0

Solving
40y2 + -32y3 + 8y4 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '8y2'.
8y2(5 + -4y + y2) = 0

Ignore the factor 8.

Subproblem 1
Set the factor 'y2' equal to zero and attempt to solve:

Simplifying
y2 = 0

Solving
y2 = 0

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

Simplifying
y2 = 0

Take the square root of each side:
y = {0}

Subproblem 2
Set the factor '(5 + -4y + y2)' equal to zero and attempt to solve:

Simplifying
5 + -4y + y2 = 0

Solving
5 + -4y + y2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-5' to each side of the equation.
5 + -4y + -5 + y2 = 0 + -5

Reorder the terms:
5 + -5 + -4y + y2 = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -4y + y2 = 0 + -5
-4y + y2 = 0 + -5

Combine like terms: 0 + -5 = -5
-4y + y2 = -5

The y term is -4y.  Take half its coefficient (-2).
Square it (4) and add it to both sides.

Add '4' to each side of the equation.
-4y + 4 + y2 = -5 + 4

Reorder the terms:
4 + -4y + y2 = -5 + 4

Combine like terms: -5 + 4 = -1
4 + -4y + y2 = -1

Factor a perfect square on the left side:
(y + -2)(y + -2) = -1

Can't calculate square root of the right side.

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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