3y(y-1)+7=

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Solution for 3y(y-1)+7= equation:


Simplifying
3y(y + -1) + 7 = 0

Reorder the terms:
3y(-1 + y) + 7 = 0
(-1 * 3y + y * 3y) + 7 = 0
(-3y + 3y2) + 7 = 0

Reorder the terms:
7 + -3y + 3y2 = 0

Solving
7 + -3y + 3y2 = 0

Solving for variable 'y'.

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

Divide each side by '3'.
2.333333333 + -1y + y2 = 0

Move the constant term to the right:

Add '-2.333333333' to each side of the equation.
2.333333333 + -1y + -2.333333333 + y2 = 0 + -2.333333333

Reorder the terms:
2.333333333 + -2.333333333 + -1y + y2 = 0 + -2.333333333

Combine like terms: 2.333333333 + -2.333333333 = 0.000000000
0.000000000 + -1y + y2 = 0 + -2.333333333
-1y + y2 = 0 + -2.333333333

Combine like terms: 0 + -2.333333333 = -2.333333333
-1y + y2 = -2.333333333

The y term is -1y.  Take half its coefficient (-0.5).
Square it (0.25) and add it to both sides.

Add '0.25' to each side of the equation.
-1y + 0.25 + y2 = -2.333333333 + 0.25

Reorder the terms:
0.25 + -1y + y2 = -2.333333333 + 0.25

Combine like terms: -2.333333333 + 0.25 = -2.083333333
0.25 + -1y + y2 = -2.083333333

Factor a perfect square on the left side:
(y + -0.5)(y + -0.5) = -2.083333333

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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