=(5y^2-12y-4)-(13-25)

Solution for =(5y^2-12y-4)-(13-25) equation:

Simplifying
0 = (5y2 + -12y + -4) + -1(13 + -25)

Reorder the terms:
0 = (-4 + -12y + 5y2) + -1(13 + -25)

Remove parenthesis around (-4 + -12y + 5y2)
0 = -4 + -12y + 5y2 + -1(13 + -25)

Combine like terms: 13 + -25 = -12
0 = -4 + -12y + 5y2 + -1(-12)

Multiply -1 * -12
0 = -4 + -12y + 5y2 + 12

Reorder the terms:
0 = -4 + 12 + -12y + 5y2

Combine like terms: -4 + 12 = 8
0 = 8 + -12y + 5y2

Solving
0 = 8 + -12y + 5y2

Solving for variable 'y'.

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

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

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

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

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

Begin completing the square.  Divide all terms by
-5 the coefficient of the squared term: 

Divide each side by '-5'.
1.6 + -2.4y + y2 = 0

Move the constant term to the right:

Add '-1.6' to each side of the equation.
1.6 + -2.4y + -1.6 + y2 = 0 + -1.6

Reorder the terms:
1.6 + -1.6 + -2.4y + y2 = 0 + -1.6

Combine like terms: 1.6 + -1.6 = 0.0
0.0 + -2.4y + y2 = 0 + -1.6
-2.4y + y2 = 0 + -1.6

Combine like terms: 0 + -1.6 = -1.6
-2.4y + y2 = -1.6

The y term is -2.4y.  Take half its coefficient (-1.2).
Square it (1.44) and add it to both sides.

Add '1.44' to each side of the equation.
-2.4y + 1.44 + y2 = -1.6 + 1.44

Reorder the terms:
1.44 + -2.4y + y2 = -1.6 + 1.44

Combine like terms: -1.6 + 1.44 = -0.16
1.44 + -2.4y + y2 = -0.16

Factor a perfect square on the left side:
(y + -1.2)(y + -1.2) = -0.16

Can't calculate square root of the right side.

The solution to this equation could not be determined.