2y(3y)+16(y+2)-10=

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Solution for 2y(3y)+16(y+2)-10= equation: 


Simplifying
2y(3y) + 16(y + 2) + -10 = 0

Remove parenthesis around (3y)
2y * 3y + 16(y + 2) + -10 = 0

Reorder the terms for easier multiplication:
2 * 3y * y + 16(y + 2) + -10 = 0

Multiply 2 * 3
6y * y + 16(y + 2) + -10 = 0

Multiply y * y
6y2 + 16(y + 2) + -10 = 0

Reorder the terms:
6y2 + 16(2 + y) + -10 = 0
6y2 + (2 * 16 + y * 16) + -10 = 0
6y2 + (32 + 16y) + -10 = 0

Reorder the terms:
32 + -10 + 16y + 6y2 = 0

Combine like terms: 32 + -10 = 22
22 + 16y + 6y2 = 0

Solving
22 + 16y + 6y2 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '2'.
2(11 + 8y + 3y2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(11 + 8y + 3y2)' equal to zero and attempt to solve:

Simplifying
11 + 8y + 3y2 = 0

Solving
11 + 8y + 3y2 = 0

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

Divide each side by '3'.
3.666666667 + 2.666666667y + y2 = 0

Move the constant term to the right:

Add '-3.666666667' to each side of the equation.
3.666666667 + 2.666666667y + -3.666666667 + y2 = 0 + -3.666666667

Reorder the terms:
3.666666667 + -3.666666667 + 2.666666667y + y2 = 0 + -3.666666667

Combine like terms: 3.666666667 + -3.666666667 = 0.000000000
0.000000000 + 2.666666667y + y2 = 0 + -3.666666667
2.666666667y + y2 = 0 + -3.666666667

Combine like terms: 0 + -3.666666667 = -3.666666667
2.666666667y + y2 = -3.666666667

The y term is 2.666666667y.  Take half its coefficient (1.333333334).
Square it (1.777777780) and add it to both sides.

Add '1.777777780' to each side of the equation.
2.666666667y + 1.777777780 + y2 = -3.666666667 + 1.777777780

Reorder the terms:
1.777777780 + 2.666666667y + y2 = -3.666666667 + 1.777777780

Combine like terms: -3.666666667 + 1.777777780 = -1.888888887
1.777777780 + 2.666666667y + y2 = -1.888888887

Factor a perfect square on the left side:
(y + 1.333333334)(y + 1.333333334) = -1.888888887

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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