14y^2-40y+30=0

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Solution for 14y^2-40y+30=0 equation: 


Simplifying
14y2 + -40y + 30 = 0

Reorder the terms:
30 + -40y + 14y2 = 0

Solving
30 + -40y + 14y2 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '2'.
2(15 + -20y + 7y2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(15 + -20y + 7y2)' equal to zero and attempt to solve:

Simplifying
15 + -20y + 7y2 = 0

Solving
15 + -20y + 7y2 = 0

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

Divide each side by '7'.
2.142857143 + -2.857142857y + y2 = 0

Move the constant term to the right:

Add '-2.142857143' to each side of the equation.
2.142857143 + -2.857142857y + -2.142857143 + y2 = 0 + -2.142857143

Reorder the terms:
2.142857143 + -2.142857143 + -2.857142857y + y2 = 0 + -2.142857143

Combine like terms: 2.142857143 + -2.142857143 = 0.000000000
0.000000000 + -2.857142857y + y2 = 0 + -2.142857143
-2.857142857y + y2 = 0 + -2.142857143

Combine like terms: 0 + -2.142857143 = -2.142857143
-2.857142857y + y2 = -2.142857143

The y term is -2.857142857y.  Take half its coefficient (-1.428571429).
Square it (2.040816328) and add it to both sides.

Add '2.040816328' to each side of the equation.
-2.857142857y + 2.040816328 + y2 = -2.142857143 + 2.040816328

Reorder the terms:
2.040816328 + -2.857142857y + y2 = -2.142857143 + 2.040816328

Combine like terms: -2.142857143 + 2.040816328 = -0.102040815
2.040816328 + -2.857142857y + y2 = -0.102040815

Factor a perfect square on the left side:
(y + -1.428571429)(y + -1.428571429) = -0.102040815

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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