9y-4y(y+5)=40

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Solution for 9y-4y(y+5)=40 equation: 


Simplifying
9y + -4y(y + 5) = 40

Reorder the terms:
9y + -4y(5 + y) = 40
9y + (5 * -4y + y * -4y) = 40
9y + (-20y + -4y2) = 40

Combine like terms: 9y + -20y = -11y
-11y + -4y2 = 40

Solving
-11y + -4y2 = 40

Solving for variable 'y'.

Reorder the terms:
-40 + -11y + -4y2 = 40 + -40

Combine like terms: 40 + -40 = 0
-40 + -11y + -4y2 = 0

Factor out the Greatest Common Factor (GCF), '-1'.
-1(40 + 11y + 4y2) = 0

Ignore the factor -1.

Subproblem 1
Set the factor '(40 + 11y + 4y2)' equal to zero and attempt to solve:

Simplifying
40 + 11y + 4y2 = 0

Solving
40 + 11y + 4y2 = 0

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

Divide each side by '4'.
10 + 2.75y + y2 = 0

Move the constant term to the right:

Add '-10' to each side of the equation.
10 + 2.75y + -10 + y2 = 0 + -10

Reorder the terms:
10 + -10 + 2.75y + y2 = 0 + -10

Combine like terms: 10 + -10 = 0
0 + 2.75y + y2 = 0 + -10
2.75y + y2 = 0 + -10

Combine like terms: 0 + -10 = -10
2.75y + y2 = -10

The y term is 2.75y.  Take half its coefficient (1.375).
Square it (1.890625) and add it to both sides.

Add '1.890625' to each side of the equation.
2.75y + 1.890625 + y2 = -10 + 1.890625

Reorder the terms:
1.890625 + 2.75y + y2 = -10 + 1.890625

Combine like terms: -10 + 1.890625 = -8.109375
1.890625 + 2.75y + y2 = -8.109375

Factor a perfect square on the left side:
(y + 1.375)(y + 1.375) = -8.109375

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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