16y^2+16y+4=-25

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Solution for 16y^2+16y+4=-25 equation:


Simplifying
16y2 + 16y + 4 = -25

Reorder the terms:
4 + 16y + 16y2 = -25

Solving
4 + 16y + 16y2 = -25

Solving for variable 'y'.

Reorder the terms:
4 + 25 + 16y + 16y2 = -25 + 25

Combine like terms: 4 + 25 = 29
29 + 16y + 16y2 = -25 + 25

Combine like terms: -25 + 25 = 0
29 + 16y + 16y2 = 0

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

Divide each side by '16'.
1.8125 + y + y2 = 0

Move the constant term to the right:

Add '-1.8125' to each side of the equation.
1.8125 + y + -1.8125 + y2 = 0 + -1.8125

Reorder the terms:
1.8125 + -1.8125 + y + y2 = 0 + -1.8125

Combine like terms: 1.8125 + -1.8125 = 0.0000
0.0000 + y + y2 = 0 + -1.8125
y + y2 = 0 + -1.8125

Combine like terms: 0 + -1.8125 = -1.8125
y + y2 = -1.8125

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 = -1.8125 + 0.25

Combine like terms:  + 0.25 = 1.25
1.25 + y2 = -1.8125 + 0.25

Combine like terms: -1.8125 + 0.25 = -1.5625
1.25 + y2 = -1.5625

Factor a perfect square on the left side:
(y + 0.5)(y + 0.5) = -1.5625

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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