-10y^3-6y^2-28y=

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Solution for -10y^3-6y^2-28y= equation: 


Simplifying
-10y3 + -6y2 + -28y = 0

Reorder the terms:
-28y + -6y2 + -10y3 = 0

Solving
-28y + -6y2 + -10y3 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '-2y'.
-2y(14 + 3y + 5y2) = 0

Ignore the factor -2.

Subproblem 1
Set the factor 'y' equal to zero and attempt to solve:

Simplifying
y = 0

Solving
y = 0

Move all terms containing y to the left, all other terms to the right.

Simplifying
y = 0

Subproblem 2
Set the factor '(14 + 3y + 5y2)' equal to zero and attempt to solve:

Simplifying
14 + 3y + 5y2 = 0

Solving
14 + 3y + 5y2 = 0

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

Divide each side by '5'.
2.8 + 0.6y + y2 = 0

Move the constant term to the right:

Add '-2.8' to each side of the equation.
2.8 + 0.6y + -2.8 + y2 = 0 + -2.8

Reorder the terms:
2.8 + -2.8 + 0.6y + y2 = 0 + -2.8

Combine like terms: 2.8 + -2.8 = 0.0
0.0 + 0.6y + y2 = 0 + -2.8
0.6y + y2 = 0 + -2.8

Combine like terms: 0 + -2.8 = -2.8
0.6y + y2 = -2.8

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 = -2.8 + 0.09

Reorder the terms:
0.09 + 0.6y + y2 = -2.8 + 0.09

Combine like terms: -2.8 + 0.09 = -2.71
0.09 + 0.6y + y2 = -2.71

Factor a perfect square on the left side:
(y + 0.3)(y + 0.3) = -2.71

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.
Solution
y = {0}

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