16y^2+7y+10=

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Solution for 16y^2+7y+10= equation:


Simplifying
16y2 + 7y + 10 = 0

Reorder the terms:
10 + 7y + 16y2 = 0

Solving
10 + 7y + 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'.
0.625 + 0.4375y + y2 = 0

Move the constant term to the right:

Add '-0.625' to each side of the equation.
0.625 + 0.4375y + -0.625 + y2 = 0 + -0.625

Reorder the terms:
0.625 + -0.625 + 0.4375y + y2 = 0 + -0.625

Combine like terms: 0.625 + -0.625 = 0.000
0.000 + 0.4375y + y2 = 0 + -0.625
0.4375y + y2 = 0 + -0.625

Combine like terms: 0 + -0.625 = -0.625
0.4375y + y2 = -0.625

The y term is 0.4375y.  Take half its coefficient (0.21875).
Square it (0.0478515625) and add it to both sides.

Add '0.0478515625' to each side of the equation.
0.4375y + 0.0478515625 + y2 = -0.625 + 0.0478515625

Reorder the terms:
0.0478515625 + 0.4375y + y2 = -0.625 + 0.0478515625

Combine like terms: -0.625 + 0.0478515625 = -0.5771484375
0.0478515625 + 0.4375y + y2 = -0.5771484375

Factor a perfect square on the left side:
(y + 0.21875)(y + 0.21875) = -0.5771484375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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