(4y^2+2y+1)-(y^2-9)=

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Solution for (4y^2+2y+1)-(y^2-9)= equation: 


Simplifying
(4y2 + 2y + 1) + -1(y2 + -9) = 0

Reorder the terms:
(1 + 2y + 4y2) + -1(y2 + -9) = 0

Remove parenthesis around (1 + 2y + 4y2)
1 + 2y + 4y2 + -1(y2 + -9) = 0

Reorder the terms:
1 + 2y + 4y2 + -1(-9 + y2) = 0
1 + 2y + 4y2 + (-9 * -1 + y2 * -1) = 0
1 + 2y + 4y2 + (9 + -1y2) = 0

Reorder the terms:
1 + 9 + 2y + 4y2 + -1y2 = 0

Combine like terms: 1 + 9 = 10
10 + 2y + 4y2 + -1y2 = 0

Combine like terms: 4y2 + -1y2 = 3y2
10 + 2y + 3y2 = 0

Solving
10 + 2y + 3y2 = 0

Solving for variable 'y'.

Begin completing the square.  Divide all terms by
3 the coefficient of the squared term: 

Divide each side by '3'.
3.333333333 + 0.6666666667y + y2 = 0

Move the constant term to the right:

Add '-3.333333333' to each side of the equation.
3.333333333 + 0.6666666667y + -3.333333333 + y2 = 0 + -3.333333333

Reorder the terms:
3.333333333 + -3.333333333 + 0.6666666667y + y2 = 0 + -3.333333333

Combine like terms: 3.333333333 + -3.333333333 = 0.000000000
0.000000000 + 0.6666666667y + y2 = 0 + -3.333333333
0.6666666667y + y2 = 0 + -3.333333333

Combine like terms: 0 + -3.333333333 = -3.333333333
0.6666666667y + y2 = -3.333333333

The y term is 0.6666666667y.  Take half its coefficient (0.3333333334).
Square it (0.1111111112) and add it to both sides.

Add '0.1111111112' to each side of the equation.
0.6666666667y + 0.1111111112 + y2 = -3.333333333 + 0.1111111112

Reorder the terms:
0.1111111112 + 0.6666666667y + y2 = -3.333333333 + 0.1111111112

Combine like terms: -3.333333333 + 0.1111111112 = -3.2222222218
0.1111111112 + 0.6666666667y + y2 = -3.2222222218

Factor a perfect square on the left side:
(y + 0.3333333334)(y + 0.3333333334) = -3.2222222218

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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