-2y(3y-7)=56

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Solution for -2y(3y-7)=56 equation: 


Simplifying
-2y(3y + -7) = 56

Reorder the terms:
-2y(-7 + 3y) = 56
(-7 * -2y + 3y * -2y) = 56
(14y + -6y2) = 56

Solving
14y + -6y2 = 56

Solving for variable 'y'.

Reorder the terms:
-56 + 14y + -6y2 = 56 + -56

Combine like terms: 56 + -56 = 0
-56 + 14y + -6y2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-28 + 7y + -3y2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-28 + 7y + -3y2)' equal to zero and attempt to solve:

Simplifying
-28 + 7y + -3y2 = 0

Solving
-28 + 7y + -3y2 = 0

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

Divide each side by '-3'.
9.333333333 + -2.333333333y + y2 = 0

Move the constant term to the right:

Add '-9.333333333' to each side of the equation.
9.333333333 + -2.333333333y + -9.333333333 + y2 = 0 + -9.333333333

Reorder the terms:
9.333333333 + -9.333333333 + -2.333333333y + y2 = 0 + -9.333333333

Combine like terms: 9.333333333 + -9.333333333 = 0.000000000
0.000000000 + -2.333333333y + y2 = 0 + -9.333333333
-2.333333333y + y2 = 0 + -9.333333333

Combine like terms: 0 + -9.333333333 = -9.333333333
-2.333333333y + y2 = -9.333333333

The y term is -2.333333333y.  Take half its coefficient (-1.166666667).
Square it (1.361111112) and add it to both sides.

Add '1.361111112' to each side of the equation.
-2.333333333y + 1.361111112 + y2 = -9.333333333 + 1.361111112

Reorder the terms:
1.361111112 + -2.333333333y + y2 = -9.333333333 + 1.361111112

Combine like terms: -9.333333333 + 1.361111112 = -7.972222221
1.361111112 + -2.333333333y + y2 = -7.972222221

Factor a perfect square on the left side:
(y + -1.166666667)(y + -1.166666667) = -7.972222221

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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