-5y+12=-4y(2y+3)

Solution for -5y+12=-4y(2y+3) equation:

Simplifying
-5y + 12 = -4y(2y + 3)

Reorder the terms:
12 + -5y = -4y(2y + 3)

Reorder the terms:
12 + -5y = -4y(3 + 2y)
12 + -5y = (3 * -4y + 2y * -4y)
12 + -5y = (-12y + -8y2)

Solving
12 + -5y = -12y + -8y2

Solving for variable 'y'.

Combine like terms: -5y + 12y = 7y
12 + 7y + 8y2 = -12y + -8y2 + 12y + 8y2

Reorder the terms:
12 + 7y + 8y2 = -12y + 12y + -8y2 + 8y2

Combine like terms: -12y + 12y = 0
12 + 7y + 8y2 = 0 + -8y2 + 8y2
12 + 7y + 8y2 = -8y2 + 8y2

Combine like terms: -8y2 + 8y2 = 0
12 + 7y + 8y2 = 0

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

Divide each side by '8'.
1.5 + 0.875y + y2 = 0

Move the constant term to the right:

Add '-1.5' to each side of the equation.
1.5 + 0.875y + -1.5 + y2 = 0 + -1.5

Reorder the terms:
1.5 + -1.5 + 0.875y + y2 = 0 + -1.5

Combine like terms: 1.5 + -1.5 = 0.0
0.0 + 0.875y + y2 = 0 + -1.5
0.875y + y2 = 0 + -1.5

Combine like terms: 0 + -1.5 = -1.5
0.875y + y2 = -1.5

The y term is 0.875y.  Take half its coefficient (0.4375).
Square it (0.19140625) and add it to both sides.

Add '0.19140625' to each side of the equation.
0.875y + 0.19140625 + y2 = -1.5 + 0.19140625

Reorder the terms:
0.19140625 + 0.875y + y2 = -1.5 + 0.19140625

Combine like terms: -1.5 + 0.19140625 = -1.30859375
0.19140625 + 0.875y + y2 = -1.30859375

Factor a perfect square on the left side:
(y + 0.4375)(y + 0.4375) = -1.30859375

Can't calculate square root of the right side.

The solution to this equation could not be determined.