7y^2(6y^2-2y+8)=

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Solution for 7y^2(6y^2-2y+8)= equation: 


Simplifying
7y2(6y2 + -2y + 8) = 0

Reorder the terms:
7y2(8 + -2y + 6y2) = 0
(8 * 7y2 + -2y * 7y2 + 6y2 * 7y2) = 0
(56y2 + -14y3 + 42y4) = 0

Solving
56y2 + -14y3 + 42y4 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '14y2'.
14y2(4 + -1y + 3y2) = 0

Ignore the factor 14.

Subproblem 1
Set the factor 'y2' equal to zero and attempt to solve:

Simplifying
y2 = 0

Solving
y2 = 0

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

Simplifying
y2 = 0

Take the square root of each side:
y = {0}

Subproblem 2
Set the factor '(4 + -1y + 3y2)' equal to zero and attempt to solve:

Simplifying
4 + -1y + 3y2 = 0

Solving
4 + -1y + 3y2 = 0

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

Divide each side by '3'.
1.333333333 + -0.3333333333y + y2 = 0

Move the constant term to the right:

Add '-1.333333333' to each side of the equation.
1.333333333 + -0.3333333333y + -1.333333333 + y2 = 0 + -1.333333333

Reorder the terms:
1.333333333 + -1.333333333 + -0.3333333333y + y2 = 0 + -1.333333333

Combine like terms: 1.333333333 + -1.333333333 = 0.000000000
0.000000000 + -0.3333333333y + y2 = 0 + -1.333333333
-0.3333333333y + y2 = 0 + -1.333333333

Combine like terms: 0 + -1.333333333 = -1.333333333
-0.3333333333y + y2 = -1.333333333

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 = -1.333333333 + 0.02777777779

Reorder the terms:
0.02777777779 + -0.3333333333y + y2 = -1.333333333 + 0.02777777779

Combine like terms: -1.333333333 + 0.02777777779 = -1.30555555521
0.02777777779 + -0.3333333333y + y2 = -1.30555555521

Factor a perfect square on the left side:
(y + -0.1666666667)(y + -0.1666666667) = -1.30555555521

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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