y(7y-5)=-39

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Solution for y(7y-5)=-39 equation:


Simplifying
y(7y + -5) = -39

Reorder the terms:
y(-5 + 7y) = -39
(-5 * y + 7y * y) = -39
(-5y + 7y2) = -39

Solving
-5y + 7y2 = -39

Solving for variable 'y'.

Reorder the terms:
39 + -5y + 7y2 = -39 + 39

Combine like terms: -39 + 39 = 0
39 + -5y + 7y2 = 0

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

Divide each side by '7'.
5.571428571 + -0.7142857143y + y2 = 0

Move the constant term to the right:

Add '-5.571428571' to each side of the equation.
5.571428571 + -0.7142857143y + -5.571428571 + y2 = 0 + -5.571428571

Reorder the terms:
5.571428571 + -5.571428571 + -0.7142857143y + y2 = 0 + -5.571428571

Combine like terms: 5.571428571 + -5.571428571 = 0.000000000
0.000000000 + -0.7142857143y + y2 = 0 + -5.571428571
-0.7142857143y + y2 = 0 + -5.571428571

Combine like terms: 0 + -5.571428571 = -5.571428571
-0.7142857143y + y2 = -5.571428571

The y term is -0.7142857143y.  Take half its coefficient (-0.3571428572).
Square it (0.1275510204) and add it to both sides.

Add '0.1275510204' to each side of the equation.
-0.7142857143y + 0.1275510204 + y2 = -5.571428571 + 0.1275510204

Reorder the terms:
0.1275510204 + -0.7142857143y + y2 = -5.571428571 + 0.1275510204

Combine like terms: -5.571428571 + 0.1275510204 = -5.4438775506
0.1275510204 + -0.7142857143y + y2 = -5.4438775506

Factor a perfect square on the left side:
(y + -0.3571428572)(y + -0.3571428572) = -5.4438775506

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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