-2y(y-3)=y+24

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Solution for -2y(y-3)=y+24 equation: 


Simplifying
-2y(y + -3) = y + 24

Reorder the terms:
-2y(-3 + y) = y + 24
(-3 * -2y + y * -2y) = y + 24
(6y + -2y2) = y + 24

Reorder the terms:
6y + -2y2 = 24 + y

Solving
6y + -2y2 = 24 + y

Solving for variable 'y'.

Reorder the terms:
-24 + 6y + -1y + -2y2 = 24 + y + -24 + -1y

Combine like terms: 6y + -1y = 5y
-24 + 5y + -2y2 = 24 + y + -24 + -1y

Reorder the terms:
-24 + 5y + -2y2 = 24 + -24 + y + -1y

Combine like terms: 24 + -24 = 0
-24 + 5y + -2y2 = 0 + y + -1y
-24 + 5y + -2y2 = y + -1y

Combine like terms: y + -1y = 0
-24 + 5y + -2y2 = 0

Begin completing the square.  Divide all terms by
-2 the coefficient of the squared term: 

Divide each side by '-2'.
12 + -2.5y + y2 = 0

Move the constant term to the right:

Add '-12' to each side of the equation.
12 + -2.5y + -12 + y2 = 0 + -12

Reorder the terms:
12 + -12 + -2.5y + y2 = 0 + -12

Combine like terms: 12 + -12 = 0
0 + -2.5y + y2 = 0 + -12
-2.5y + y2 = 0 + -12

Combine like terms: 0 + -12 = -12
-2.5y + y2 = -12

The y term is -2.5y.  Take half its coefficient (-1.25).
Square it (1.5625) and add it to both sides.

Add '1.5625' to each side of the equation.
-2.5y + 1.5625 + y2 = -12 + 1.5625

Reorder the terms:
1.5625 + -2.5y + y2 = -12 + 1.5625

Combine like terms: -12 + 1.5625 = -10.4375
1.5625 + -2.5y + y2 = -10.4375

Factor a perfect square on the left side:
(y + -1.25)(y + -1.25) = -10.4375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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