(3y+1)(3y+1)+40=

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Solution for (3y+1)(3y+1)+40= equation: 


Simplifying
(3y + 1)(3y + 1) + 40 = 0

Reorder the terms:
(1 + 3y)(3y + 1) + 40 = 0

Reorder the terms:
(1 + 3y)(1 + 3y) + 40 = 0

Multiply (1 + 3y) * (1 + 3y)
(1(1 + 3y) + 3y * (1 + 3y)) + 40 = 0
((1 * 1 + 3y * 1) + 3y * (1 + 3y)) + 40 = 0
((1 + 3y) + 3y * (1 + 3y)) + 40 = 0
(1 + 3y + (1 * 3y + 3y * 3y)) + 40 = 0
(1 + 3y + (3y + 9y2)) + 40 = 0

Combine like terms: 3y + 3y = 6y
(1 + 6y + 9y2) + 40 = 0

Reorder the terms:
1 + 40 + 6y + 9y2 = 0

Combine like terms: 1 + 40 = 41
41 + 6y + 9y2 = 0

Solving
41 + 6y + 9y2 = 0

Solving for variable 'y'.

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

Divide each side by '9'.
4.555555556 + 0.6666666667y + y2 = 0

Move the constant term to the right:

Add '-4.555555556' to each side of the equation.
4.555555556 + 0.6666666667y + -4.555555556 + y2 = 0 + -4.555555556

Reorder the terms:
4.555555556 + -4.555555556 + 0.6666666667y + y2 = 0 + -4.555555556

Combine like terms: 4.555555556 + -4.555555556 = 0.000000000
0.000000000 + 0.6666666667y + y2 = 0 + -4.555555556
0.6666666667y + y2 = 0 + -4.555555556

Combine like terms: 0 + -4.555555556 = -4.555555556
0.6666666667y + y2 = -4.555555556

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 = -4.555555556 + 0.1111111112

Reorder the terms:
0.1111111112 + 0.6666666667y + y2 = -4.555555556 + 0.1111111112

Combine like terms: -4.555555556 + 0.1111111112 = -4.4444444448
0.1111111112 + 0.6666666667y + y2 = -4.4444444448

Factor a perfect square on the left side:
(y + 0.3333333334)(y + 0.3333333334) = -4.4444444448

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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