(-3-2y)y=20

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Solution for (-3-2y)y=20 equation: 


Simplifying
(-3 + -2y) * y = 20

Reorder the terms for easier multiplication:
y(-3 + -2y) = 20
(-3 * y + -2y * y) = 20
(-3y + -2y2) = 20

Solving
-3y + -2y2 = 20

Solving for variable 'y'.

Reorder the terms:
-20 + -3y + -2y2 = 20 + -20

Combine like terms: 20 + -20 = 0
-20 + -3y + -2y2 = 0

Factor out the Greatest Common Factor (GCF), '-1'.
-1(20 + 3y + 2y2) = 0

Ignore the factor -1.

Subproblem 1
Set the factor '(20 + 3y + 2y2)' equal to zero and attempt to solve:

Simplifying
20 + 3y + 2y2 = 0

Solving
20 + 3y + 2y2 = 0

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

Divide each side by '2'.
10 + 1.5y + y2 = 0

Move the constant term to the right:

Add '-10' to each side of the equation.
10 + 1.5y + -10 + y2 = 0 + -10

Reorder the terms:
10 + -10 + 1.5y + y2 = 0 + -10

Combine like terms: 10 + -10 = 0
0 + 1.5y + y2 = 0 + -10
1.5y + y2 = 0 + -10

Combine like terms: 0 + -10 = -10
1.5y + y2 = -10

The y term is 1.5y.  Take half its coefficient (0.75).
Square it (0.5625) and add it to both sides.

Add '0.5625' to each side of the equation.
1.5y + 0.5625 + y2 = -10 + 0.5625

Reorder the terms:
0.5625 + 1.5y + y2 = -10 + 0.5625

Combine like terms: -10 + 0.5625 = -9.4375
0.5625 + 1.5y + y2 = -9.4375

Factor a perfect square on the left side:
(y + 0.75)(y + 0.75) = -9.4375

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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