16y^2-3y+16=0

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Solution for 16y^2-3y+16=0 equation:


Simplifying
16y2 + -3y + 16 = 0

Reorder the terms:
16 + -3y + 16y2 = 0

Solving
16 + -3y + 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'.
1 + -0.1875y + y2 = 0

Move the constant term to the right:

Add '-1' to each side of the equation.
1 + -0.1875y + -1 + y2 = 0 + -1

Reorder the terms:
1 + -1 + -0.1875y + y2 = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -0.1875y + y2 = 0 + -1
-0.1875y + y2 = 0 + -1

Combine like terms: 0 + -1 = -1
-0.1875y + y2 = -1

The y term is -0.1875y.  Take half its coefficient (-0.09375).
Square it (0.0087890625) and add it to both sides.

Add '0.0087890625' to each side of the equation.
-0.1875y + 0.0087890625 + y2 = -1 + 0.0087890625

Reorder the terms:
0.0087890625 + -0.1875y + y2 = -1 + 0.0087890625

Combine like terms: -1 + 0.0087890625 = -0.9912109375
0.0087890625 + -0.1875y + y2 = -0.9912109375

Factor a perfect square on the left side:
(y + -0.09375)(y + -0.09375) = -0.9912109375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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