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

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

Simplifying
4y(2y + 3) + -5(y + -2) = 0

Reorder the terms:
4y(3 + 2y) + -5(y + -2) = 0
(3 * 4y + 2y * 4y) + -5(y + -2) = 0
(12y + 8y2) + -5(y + -2) = 0

Reorder the terms:
12y + 8y2 + -5(-2 + y) = 0
12y + 8y2 + (-2 * -5 + y * -5) = 0
12y + 8y2 + (10 + -5y) = 0

Reorder the terms:
10 + 12y + -5y + 8y2 = 0

Combine like terms: 12y + -5y = 7y
10 + 7y + 8y2 = 0

Solving
10 + 7y + 8y2 = 0

Solving for variable 'y'.

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

Divide each side by '8'.
1.25 + 0.875y + y2 = 0

Move the constant term to the right:

Add '-1.25' to each side of the equation.
1.25 + 0.875y + -1.25 + y2 = 0 + -1.25

Reorder the terms:
1.25 + -1.25 + 0.875y + y2 = 0 + -1.25

Combine like terms: 1.25 + -1.25 = 0.00
0.00 + 0.875y + y2 = 0 + -1.25
0.875y + y2 = 0 + -1.25

Combine like terms: 0 + -1.25 = -1.25
0.875y + y2 = -1.25

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 = -1.25 + 0.19140625

Reorder the terms:
0.19140625 + 0.875y + y2 = -1.25 + 0.19140625

Combine like terms: -1.25 + 0.19140625 = -1.05859375
0.19140625 + 0.875y + y2 = -1.05859375

Factor a perfect square on the left side:
(y + 0.4375)(y + 0.4375) = -1.05859375

Can't calculate square root of the right side.

The solution to this equation could not be determined.