y^2+1.6y+0.64=

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Solution for y^2+1.6y+0.64= equation:


Simplifying
y2 + 1.6y + 0.64 = 0

Reorder the terms:
0.64 + 1.6y + y2 = 0

Solving
0.64 + 1.6y + y2 = 0

Solving for variable 'y'.

Begin completing the square.

Move the constant term to the right:

Add '-0.64' to each side of the equation.
0.64 + 1.6y + -0.64 + y2 = 0 + -0.64

Reorder the terms:
0.64 + -0.64 + 1.6y + y2 = 0 + -0.64

Combine like terms: 0.64 + -0.64 = 0.00
0.00 + 1.6y + y2 = 0 + -0.64
1.6y + y2 = 0 + -0.64

Combine like terms: 0 + -0.64 = -0.64
1.6y + y2 = -0.64

The y term is 1.6y.  Take half its coefficient (0.8).
Square it (0.64) and add it to both sides.

Add '0.64' to each side of the equation.
1.6y + 0.64 + y2 = -0.64 + 0.64

Reorder the terms:
0.64 + 1.6y + y2 = -0.64 + 0.64

Combine like terms: -0.64 + 0.64 = 0.00
0.64 + 1.6y + y2 = 0.00

Factor a perfect square on the left side:
(y + 0.8)(y + 0.8) = 0.00

Calculate the square root of the right side: 0.00

Break this problem into two subproblems by setting 
(y + 0.8) equal to 0.00 and 0.00.


Subproblem 1
y + 0.8 = 0.00

Simplifying
y + 0.8 = 0.00

Reorder the terms:
0.8 + y = 0.00

Solving
0.8 + y = 0.00

Solving for variable 'y'.

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

Add '-0.8' to each side of the equation.
0.8 + -0.8 + y = 0.00 + -0.8

Combine like terms: 0.8 + -0.8 = 0.0
0.0 + y = 0.00 + -0.8
y = 0.00 + -0.8

Combine like terms: 0.00 + -0.8 = -0.8
y = -0.8

Simplifying
y = -0.8


Subproblem 2
y + 0.8 = 0.00

Simplifying
y + 0.8 = 0.00

Reorder the terms:
0.8 + y = 0.00

Solving
0.8 + y = 0.00

Solving for variable 'y'.

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

Add '-0.8' to each side of the equation.
0.8 + -0.8 + y = 0.00 + -0.8

Combine like terms: 0.8 + -0.8 = 0.0
0.0 + y = 0.00 + -0.8
y = 0.00 + -0.8

Combine like terms: 0.00 + -0.8 = -0.8
y = -0.8

Simplifying
y = -0.8


Solution
The solution to the problem is based on the solutions
from the subproblems.
y = {-0.8, -0.8}

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