5y(3y-8)+32=

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Solution for 5y(3y-8)+32= equation:


Simplifying
5y(3y + -8) + 32 = 0

Reorder the terms:
5y(-8 + 3y) + 32 = 0
(-8 * 5y + 3y * 5y) + 32 = 0
(-40y + 15y2) + 32 = 0

Reorder the terms:
32 + -40y + 15y2 = 0

Solving
32 + -40y + 15y2 = 0

Solving for variable 'y'.

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

Divide each side by '15'.
2.133333333 + -2.666666667y + y2 = 0

Move the constant term to the right:

Add '-2.133333333' to each side of the equation.
2.133333333 + -2.666666667y + -2.133333333 + y2 = 0 + -2.133333333

Reorder the terms:
2.133333333 + -2.133333333 + -2.666666667y + y2 = 0 + -2.133333333

Combine like terms: 2.133333333 + -2.133333333 = 0.000000000
0.000000000 + -2.666666667y + y2 = 0 + -2.133333333
-2.666666667y + y2 = 0 + -2.133333333

Combine like terms: 0 + -2.133333333 = -2.133333333
-2.666666667y + y2 = -2.133333333

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 = -2.133333333 + 1.777777780

Reorder the terms:
1.777777780 + -2.666666667y + y2 = -2.133333333 + 1.777777780

Combine like terms: -2.133333333 + 1.777777780 = -0.355555553
1.777777780 + -2.666666667y + y2 = -0.355555553

Factor a perfect square on the left side:
(y + -1.333333334)(y + -1.333333334) = -0.355555553

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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