y^2+0.2y-0.35=

Solution for y^2+0.2y-0.35= equation:

Simplifying
y2 + 0.2y + -0.35 = 0

Reorder the terms:
-0.35 + 0.2y + y2 = 0

Solving
-0.35 + 0.2y + y2 = 0

Solving for variable 'y'.

Begin completing the square.

Move the constant term to the right:

Add '0.35' to each side of the equation.
-0.35 + 0.2y + 0.35 + y2 = 0 + 0.35

Reorder the terms:
-0.35 + 0.35 + 0.2y + y2 = 0 + 0.35

Combine like terms: -0.35 + 0.35 = 0.00
0.00 + 0.2y + y2 = 0 + 0.35
0.2y + y2 = 0 + 0.35

Combine like terms: 0 + 0.35 = 0.35
0.2y + y2 = 0.35

The y term is 0.2y.  Take half its coefficient (0.1).
Square it (0.01) and add it to both sides.

Add '0.01' to each side of the equation.
0.2y + 0.01 + y2 = 0.35 + 0.01

Reorder the terms:
0.01 + 0.2y + y2 = 0.35 + 0.01

Combine like terms: 0.35 + 0.01 = 0.36
0.01 + 0.2y + y2 = 0.36

Factor a perfect square on the left side:
(y + 0.1)(y + 0.1) = 0.36

Calculate the square root of the right side: 0.6

Break this problem into two subproblems by setting 
(y + 0.1) equal to 0.6 and -0.6.

Subproblem 1
y + 0.1 = 0.6

Simplifying
y + 0.1 = 0.6

Reorder the terms:
0.1 + y = 0.6

Solving
0.1 + y = 0.6

Solving for variable 'y'.

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

Add '-0.1' to each side of the equation.
0.1 + -0.1 + y = 0.6 + -0.1

Combine like terms: 0.1 + -0.1 = 0.0
0.0 + y = 0.6 + -0.1
y = 0.6 + -0.1

Combine like terms: 0.6 + -0.1 = 0.5
y = 0.5

Simplifying
y = 0.5

Subproblem 2
y + 0.1 = -0.6

Simplifying
y + 0.1 = -0.6

Reorder the terms:
0.1 + y = -0.6

Solving
0.1 + y = -0.6

Solving for variable 'y'.

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

Add '-0.1' to each side of the equation.
0.1 + -0.1 + y = -0.6 + -0.1

Combine like terms: 0.1 + -0.1 = 0.0
0.0 + y = -0.6 + -0.1
y = -0.6 + -0.1

Combine like terms: -0.6 + -0.1 = -0.7
y = -0.7

Simplifying
y = -0.7

Solution
The solution to the problem is based on the solutions
from the subproblems.
y = {0.5, -0.7}