6y*6y+12y+13=2y*2y+4

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Solution for 6y*6y+12y+13=2y*2y+4 equation:


Simplifying
6y * 6y + 12y + 13 = 2y * 2y + 4

Reorder the terms for easier multiplication:
6 * 6y * y + 12y + 13 = 2y * 2y + 4

Multiply 6 * 6
36y * y + 12y + 13 = 2y * 2y + 4

Multiply y * y
36y2 + 12y + 13 = 2y * 2y + 4

Reorder the terms:
13 + 12y + 36y2 = 2y * 2y + 4

Reorder the terms for easier multiplication:
13 + 12y + 36y2 = 2 * 2y * y + 4

Multiply 2 * 2
13 + 12y + 36y2 = 4y * y + 4

Multiply y * y
13 + 12y + 36y2 = 4y2 + 4

Reorder the terms:
13 + 12y + 36y2 = 4 + 4y2

Solving
13 + 12y + 36y2 = 4 + 4y2

Solving for variable 'y'.

Reorder the terms:
13 + -4 + 12y + 36y2 + -4y2 = 4 + 4y2 + -4 + -4y2

Combine like terms: 13 + -4 = 9
9 + 12y + 36y2 + -4y2 = 4 + 4y2 + -4 + -4y2

Combine like terms: 36y2 + -4y2 = 32y2
9 + 12y + 32y2 = 4 + 4y2 + -4 + -4y2

Reorder the terms:
9 + 12y + 32y2 = 4 + -4 + 4y2 + -4y2

Combine like terms: 4 + -4 = 0
9 + 12y + 32y2 = 0 + 4y2 + -4y2
9 + 12y + 32y2 = 4y2 + -4y2

Combine like terms: 4y2 + -4y2 = 0
9 + 12y + 32y2 = 0

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

Divide each side by '32'.
0.28125 + 0.375y + y2 = 0

Move the constant term to the right:

Add '-0.28125' to each side of the equation.
0.28125 + 0.375y + -0.28125 + y2 = 0 + -0.28125

Reorder the terms:
0.28125 + -0.28125 + 0.375y + y2 = 0 + -0.28125

Combine like terms: 0.28125 + -0.28125 = 0.00000
0.00000 + 0.375y + y2 = 0 + -0.28125
0.375y + y2 = 0 + -0.28125

Combine like terms: 0 + -0.28125 = -0.28125
0.375y + y2 = -0.28125

The y term is 0.375y.  Take half its coefficient (0.1875).
Square it (0.03515625) and add it to both sides.

Add '0.03515625' to each side of the equation.
0.375y + 0.03515625 + y2 = -0.28125 + 0.03515625

Reorder the terms:
0.03515625 + 0.375y + y2 = -0.28125 + 0.03515625

Combine like terms: -0.28125 + 0.03515625 = -0.24609375
0.03515625 + 0.375y + y2 = -0.24609375

Factor a perfect square on the left side:
(y + 0.1875)(y + 0.1875) = -0.24609375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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