6y-3y(2y+4)-5=

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Solution for 6y-3y(2y+4)-5= equation: 


Simplifying
6y + -3y(2y + 4) + -5 = 0

Reorder the terms:
6y + -3y(4 + 2y) + -5 = 0
6y + (4 * -3y + 2y * -3y) + -5 = 0
6y + (-12y + -6y2) + -5 = 0

Reorder the terms:
-5 + 6y + -12y + -6y2 = 0

Combine like terms: 6y + -12y = -6y
-5 + -6y + -6y2 = 0

Solving
-5 + -6y + -6y2 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '-1'.
-1(5 + 6y + 6y2) = 0

Ignore the factor -1.

Subproblem 1
Set the factor '(5 + 6y + 6y2)' equal to zero and attempt to solve:

Simplifying
5 + 6y + 6y2 = 0

Solving
5 + 6y + 6y2 = 0

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

Divide each side by '6'.
0.8333333333 + y + y2 = 0

Move the constant term to the right:

Add '-0.8333333333' to each side of the equation.
0.8333333333 + y + -0.8333333333 + y2 = 0 + -0.8333333333

Reorder the terms:
0.8333333333 + -0.8333333333 + y + y2 = 0 + -0.8333333333

Combine like terms: 0.8333333333 + -0.8333333333 = 0.0000000000
0.0000000000 + y + y2 = 0 + -0.8333333333
y + y2 = 0 + -0.8333333333

Combine like terms: 0 + -0.8333333333 = -0.8333333333
y + y2 = -0.8333333333

The y term is y.  Take half its coefficient (0.5).
Square it (0.25) and add it to both sides.

Add '0.25' to each side of the equation.
 + 0.25 + y2 = -0.8333333333 + 0.25

Combine like terms:  + 0.25 = 1.25
1.25 + y2 = -0.8333333333 + 0.25

Combine like terms: -0.8333333333 + 0.25 = -0.5833333333
1.25 + y2 = -0.5833333333

Factor a perfect square on the left side:
(y + 0.5)(y + 0.5) = -0.5833333333

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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