-2y(-3y)+8=8-5y-12

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Solution for -2y(-3y)+8=8-5y-12 equation:


Simplifying
-2y(-3y) + 8 = 8 + -5y + -12

Remove parenthesis around (-3y)
-2y * -3y + 8 = 8 + -5y + -12

Reorder the terms for easier multiplication:
-2 * -3y * y + 8 = 8 + -5y + -12

Multiply -2 * -3
6y * y + 8 = 8 + -5y + -12

Multiply y * y
6y2 + 8 = 8 + -5y + -12

Reorder the terms:
8 + 6y2 = 8 + -5y + -12

Reorder the terms:
8 + 6y2 = 8 + -12 + -5y

Combine like terms: 8 + -12 = -4
8 + 6y2 = -4 + -5y

Solving
8 + 6y2 = -4 + -5y

Solving for variable 'y'.

Reorder the terms:
8 + 4 + 5y + 6y2 = -4 + -5y + 4 + 5y

Combine like terms: 8 + 4 = 12
12 + 5y + 6y2 = -4 + -5y + 4 + 5y

Reorder the terms:
12 + 5y + 6y2 = -4 + 4 + -5y + 5y

Combine like terms: -4 + 4 = 0
12 + 5y + 6y2 = 0 + -5y + 5y
12 + 5y + 6y2 = -5y + 5y

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

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

Divide each side by '6'.
2 + 0.8333333333y + y2 = 0

Move the constant term to the right:

Add '-2' to each side of the equation.
2 + 0.8333333333y + -2 + y2 = 0 + -2

Reorder the terms:
2 + -2 + 0.8333333333y + y2 = 0 + -2

Combine like terms: 2 + -2 = 0
0 + 0.8333333333y + y2 = 0 + -2
0.8333333333y + y2 = 0 + -2

Combine like terms: 0 + -2 = -2
0.8333333333y + y2 = -2

The y term is 0.8333333333y.  Take half its coefficient (0.4166666667).
Square it (0.1736111111) and add it to both sides.

Add '0.1736111111' to each side of the equation.
0.8333333333y + 0.1736111111 + y2 = -2 + 0.1736111111

Reorder the terms:
0.1736111111 + 0.8333333333y + y2 = -2 + 0.1736111111

Combine like terms: -2 + 0.1736111111 = -1.8263888889
0.1736111111 + 0.8333333333y + y2 = -1.8263888889

Factor a perfect square on the left side:
(y + 0.4166666667)(y + 0.4166666667) = -1.8263888889

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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