(y-3)(y+6)=y-25

Solution for (y-3)(y+6)=y-25 equation:

Simplifying
(y + -3)(y + 6) = y + -25

Reorder the terms:
(-3 + y)(y + 6) = y + -25

Reorder the terms:
(-3 + y)(6 + y) = y + -25

Multiply (-3 + y) * (6 + y)
(-3(6 + y) + y(6 + y)) = y + -25
((6 * -3 + y * -3) + y(6 + y)) = y + -25
((-18 + -3y) + y(6 + y)) = y + -25
(-18 + -3y + (6 * y + y * y)) = y + -25
(-18 + -3y + (6y + y2)) = y + -25

Combine like terms: -3y + 6y = 3y
(-18 + 3y + y2) = y + -25

Reorder the terms:
-18 + 3y + y2 = -25 + y

Solving
-18 + 3y + y2 = -25 + y

Solving for variable 'y'.

Reorder the terms:
-18 + 25 + 3y + -1y + y2 = -25 + y + 25 + -1y

Combine like terms: -18 + 25 = 7
7 + 3y + -1y + y2 = -25 + y + 25 + -1y

Combine like terms: 3y + -1y = 2y
7 + 2y + y2 = -25 + y + 25 + -1y

Reorder the terms:
7 + 2y + y2 = -25 + 25 + y + -1y

Combine like terms: -25 + 25 = 0
7 + 2y + y2 = 0 + y + -1y
7 + 2y + y2 = y + -1y

Combine like terms: y + -1y = 0
7 + 2y + y2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-7' to each side of the equation.
7 + 2y + -7 + y2 = 0 + -7

Reorder the terms:
7 + -7 + 2y + y2 = 0 + -7

Combine like terms: 7 + -7 = 0
0 + 2y + y2 = 0 + -7
2y + y2 = 0 + -7

Combine like terms: 0 + -7 = -7
2y + y2 = -7

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 = -7 + 1

Reorder the terms:
1 + 2y + y2 = -7 + 1

Combine like terms: -7 + 1 = -6
1 + 2y + y2 = -6

Factor a perfect square on the left side:
(y + 1)(y + 1) = -6

Can't calculate square root of the right side.

The solution to this equation could not be determined.