140y^2+96y+20=0

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Solution for 140y^2+96y+20=0 equation: 


Simplifying
140y2 + 96y + 20 = 0

Reorder the terms:
20 + 96y + 140y2 = 0

Solving
20 + 96y + 140y2 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '4'.
4(5 + 24y + 35y2) = 0

Ignore the factor 4.

Subproblem 1
Set the factor '(5 + 24y + 35y2)' equal to zero and attempt to solve:

Simplifying
5 + 24y + 35y2 = 0

Solving
5 + 24y + 35y2 = 0

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

Divide each side by '35'.
0.1428571429 + 0.6857142857y + y2 = 0

Move the constant term to the right:

Add '-0.1428571429' to each side of the equation.
0.1428571429 + 0.6857142857y + -0.1428571429 + y2 = 0 + -0.1428571429

Reorder the terms:
0.1428571429 + -0.1428571429 + 0.6857142857y + y2 = 0 + -0.1428571429

Combine like terms: 0.1428571429 + -0.1428571429 = 0.0000000000
0.0000000000 + 0.6857142857y + y2 = 0 + -0.1428571429
0.6857142857y + y2 = 0 + -0.1428571429

Combine like terms: 0 + -0.1428571429 = -0.1428571429
0.6857142857y + y2 = -0.1428571429

The y term is 0.6857142857y.  Take half its coefficient (0.3428571429).
Square it (0.1175510204) and add it to both sides.

Add '0.1175510204' to each side of the equation.
0.6857142857y + 0.1175510204 + y2 = -0.1428571429 + 0.1175510204

Reorder the terms:
0.1175510204 + 0.6857142857y + y2 = -0.1428571429 + 0.1175510204

Combine like terms: -0.1428571429 + 0.1175510204 = -0.0253061225
0.1175510204 + 0.6857142857y + y2 = -0.0253061225

Factor a perfect square on the left side:
(y + 0.3428571429)(y + 0.3428571429) = -0.0253061225

Can't calculate square root of the right side.

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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