-3y(6y+4)+2(3y-10)=

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Solution for -3y(6y+4)+2(3y-10)= equation: 


Simplifying
-3y(6y + 4) + 2(3y + -10) = 0

Reorder the terms:
-3y(4 + 6y) + 2(3y + -10) = 0
(4 * -3y + 6y * -3y) + 2(3y + -10) = 0
(-12y + -18y2) + 2(3y + -10) = 0

Reorder the terms:
-12y + -18y2 + 2(-10 + 3y) = 0
-12y + -18y2 + (-10 * 2 + 3y * 2) = 0
-12y + -18y2 + (-20 + 6y) = 0

Reorder the terms:
-20 + -12y + 6y + -18y2 = 0

Combine like terms: -12y + 6y = -6y
-20 + -6y + -18y2 = 0

Solving
-20 + -6y + -18y2 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '-2'.
-2(10 + 3y + 9y2) = 0

Ignore the factor -2.

Subproblem 1
Set the factor '(10 + 3y + 9y2)' equal to zero and attempt to solve:

Simplifying
10 + 3y + 9y2 = 0

Solving
10 + 3y + 9y2 = 0

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

Divide each side by '9'.
1.111111111 + 0.3333333333y + y2 = 0

Move the constant term to the right:

Add '-1.111111111' to each side of the equation.
1.111111111 + 0.3333333333y + -1.111111111 + y2 = 0 + -1.111111111

Reorder the terms:
1.111111111 + -1.111111111 + 0.3333333333y + y2 = 0 + -1.111111111

Combine like terms: 1.111111111 + -1.111111111 = 0.000000000
0.000000000 + 0.3333333333y + y2 = 0 + -1.111111111
0.3333333333y + y2 = 0 + -1.111111111

Combine like terms: 0 + -1.111111111 = -1.111111111
0.3333333333y + y2 = -1.111111111

The y term is 0.3333333333y.  Take half its coefficient (0.1666666667).
Square it (0.02777777779) and add it to both sides.

Add '0.02777777779' to each side of the equation.
0.3333333333y + 0.02777777779 + y2 = -1.111111111 + 0.02777777779

Reorder the terms:
0.02777777779 + 0.3333333333y + y2 = -1.111111111 + 0.02777777779

Combine like terms: -1.111111111 + 0.02777777779 = -1.08333333321
0.02777777779 + 0.3333333333y + y2 = -1.08333333321

Factor a perfect square on the left side:
(y + 0.1666666667)(y + 0.1666666667) = -1.08333333321

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.

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