-2y(-5y+3)=-10

Solution for -2y(-5y+3)=-10 equation:

Simplifying
-2y(-5y + 3) = -10

Reorder the terms:
-2y(3 + -5y) = -10
(3 * -2y + -5y * -2y) = -10
(-6y + 10y2) = -10

Solving
-6y + 10y2 = -10

Solving for variable 'y'.

Reorder the terms:
10 + -6y + 10y2 = -10 + 10

Combine like terms: -10 + 10 = 0
10 + -6y + 10y2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(5 + -3y + 5y2) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(5 + -3y + 5y2)' equal to zero and attempt to solve:

Simplifying
5 + -3y + 5y2 = 0

Solving
5 + -3y + 5y2 = 0

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

Divide each side by '5'.
1 + -0.6y + y2 = 0

Move the constant term to the right:

Add '-1' to each side of the equation.
1 + -0.6y + -1 + y2 = 0 + -1

Reorder the terms:
1 + -1 + -0.6y + y2 = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -0.6y + y2 = 0 + -1
-0.6y + y2 = 0 + -1

Combine like terms: 0 + -1 = -1
-0.6y + y2 = -1

The y term is -0.6y.  Take half its coefficient (-0.3).
Square it (0.09) and add it to both sides.

Add '0.09' to each side of the equation.
-0.6y + 0.09 + y2 = -1 + 0.09

Reorder the terms:
0.09 + -0.6y + y2 = -1 + 0.09

Combine like terms: -1 + 0.09 = -0.91
0.09 + -0.6y + y2 = -0.91

Factor a perfect square on the left side:
(y + -0.3)(y + -0.3) = -0.91

Can't calculate square root of the right side.

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.