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

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

Simplifying
(y + 5)(y) + -1(y + -2)(3) = 0

Reorder the terms:
(5 + y)(y) + -1(y + -2)(3) = 0

Reorder the terms for easier multiplication:
y(5 + y) + -1(y + -2)(3) = 0
(5 * y + y * y) + -1(y + -2)(3) = 0
(5y + y2) + -1(y + -2)(3) = 0

Reorder the terms:
5y + y2 + -1(-2 + y)(3) = 0

Reorder the terms for easier multiplication:
5y + y2 + -1 * 3(-2 + y) = 0

Multiply -1 * 3
5y + y2 + -3(-2 + y) = 0
5y + y2 + (-2 * -3 + y * -3) = 0
5y + y2 + (6 + -3y) = 0

Reorder the terms:
6 + 5y + -3y + y2 = 0

Combine like terms: 5y + -3y = 2y
6 + 2y + y2 = 0

Solving
6 + 2y + y2 = 0

Solving for variable 'y'.

Begin completing the square.

Move the constant term to the right:

Add '-6' to each side of the equation.
6 + 2y + -6 + y2 = 0 + -6

Reorder the terms:
6 + -6 + 2y + y2 = 0 + -6

Combine like terms: 6 + -6 = 0
0 + 2y + y2 = 0 + -6
2y + y2 = 0 + -6

Combine like terms: 0 + -6 = -6
2y + y2 = -6

The y term is 2y.  Take half its coefficient (1).
Square it (1) and add it to both sides.

Add '1' to each side of the equation.
2y + 1 + y2 = -6 + 1

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

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

Factor a perfect square on the left side:
(y + 1)(y + 1) = -5

Can't calculate square root of the right side.

The solution to this equation could not be determined.