(4y)(4y)+16y+7=0

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Solution for (4y)(4y)+16y+7=0 equation:


Simplifying
(4y)(4y) + 16y + 7 = 0

Remove parenthesis around (4y)
4y(4y) + 16y + 7 = 0

Remove parenthesis around (4y)
4y * 4y + 16y + 7 = 0

Reorder the terms for easier multiplication:
4 * 4y * y + 16y + 7 = 0

Multiply 4 * 4
16y * y + 16y + 7 = 0

Multiply y * y
16y2 + 16y + 7 = 0

Reorder the terms:
7 + 16y + 16y2 = 0

Solving
7 + 16y + 16y2 = 0

Solving for variable 'y'.

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

Divide each side by '16'.
0.4375 + y + y2 = 0

Move the constant term to the right:

Add '-0.4375' to each side of the equation.
0.4375 + y + -0.4375 + y2 = 0 + -0.4375

Reorder the terms:
0.4375 + -0.4375 + y + y2 = 0 + -0.4375

Combine like terms: 0.4375 + -0.4375 = 0.0000
0.0000 + y + y2 = 0 + -0.4375
y + y2 = 0 + -0.4375

Combine like terms: 0 + -0.4375 = -0.4375
y + y2 = -0.4375

The y term is y.  Take half its coefficient (0.5).
Square it (0.25) and add it to both sides.

Add '0.25' to each side of the equation.
 + 0.25 + y2 = -0.4375 + 0.25

Combine like terms:  + 0.25 = 1.25
1.25 + y2 = -0.4375 + 0.25

Combine like terms: -0.4375 + 0.25 = -0.1875
1.25 + y2 = -0.1875

Factor a perfect square on the left side:
(y + 0.5)(y + 0.5) = -0.1875

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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