6y^2+14y=10y-7

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Solution for 6y^2+14y=10y-7 equation: 


Simplifying
6y2 + 14y = 10y + -7

Reorder the terms:
14y + 6y2 = 10y + -7

Reorder the terms:
14y + 6y2 = -7 + 10y

Solving
14y + 6y2 = -7 + 10y

Solving for variable 'y'.

Reorder the terms:
7 + 14y + -10y + 6y2 = -7 + 10y + 7 + -10y

Combine like terms: 14y + -10y = 4y
7 + 4y + 6y2 = -7 + 10y + 7 + -10y

Reorder the terms:
7 + 4y + 6y2 = -7 + 7 + 10y + -10y

Combine like terms: -7 + 7 = 0
7 + 4y + 6y2 = 0 + 10y + -10y
7 + 4y + 6y2 = 10y + -10y

Combine like terms: 10y + -10y = 0
7 + 4y + 6y2 = 0

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

Divide each side by '6'.
1.166666667 + 0.6666666667y + y2 = 0

Move the constant term to the right:

Add '-1.166666667' to each side of the equation.
1.166666667 + 0.6666666667y + -1.166666667 + y2 = 0 + -1.166666667

Reorder the terms:
1.166666667 + -1.166666667 + 0.6666666667y + y2 = 0 + -1.166666667

Combine like terms: 1.166666667 + -1.166666667 = 0.000000000
0.000000000 + 0.6666666667y + y2 = 0 + -1.166666667
0.6666666667y + y2 = 0 + -1.166666667

Combine like terms: 0 + -1.166666667 = -1.166666667
0.6666666667y + y2 = -1.166666667

The y term is 0.6666666667y.  Take half its coefficient (0.3333333334).
Square it (0.1111111112) and add it to both sides.

Add '0.1111111112' to each side of the equation.
0.6666666667y + 0.1111111112 + y2 = -1.166666667 + 0.1111111112

Reorder the terms:
0.1111111112 + 0.6666666667y + y2 = -1.166666667 + 0.1111111112

Combine like terms: -1.166666667 + 0.1111111112 = -1.0555555558
0.1111111112 + 0.6666666667y + y2 = -1.0555555558

Factor a perfect square on the left side:
(y + 0.3333333334)(y + 0.3333333334) = -1.0555555558

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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