5y(8y+9)+y(2y+2)=

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Solution for 5y(8y+9)+y(2y+2)= equation: 


Simplifying
5y(8y + 9) + y(2y + 2) = 0

Reorder the terms:
5y(9 + 8y) + y(2y + 2) = 0
(9 * 5y + 8y * 5y) + y(2y + 2) = 0
(45y + 40y2) + y(2y + 2) = 0

Reorder the terms:
45y + 40y2 + y(2 + 2y) = 0
45y + 40y2 + (2 * y + 2y * y) = 0
45y + 40y2 + (2y + 2y2) = 0

Reorder the terms:
45y + 2y + 40y2 + 2y2 = 0

Combine like terms: 45y + 2y = 47y
47y + 40y2 + 2y2 = 0

Combine like terms: 40y2 + 2y2 = 42y2
47y + 42y2 = 0

Solving
47y + 42y2 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), 'y'.
y(47 + 42y) = 0


Subproblem 1
Set the factor 'y' equal to zero and attempt to solve:

Simplifying
y = 0

Solving
y = 0

Move all terms containing y to the left, all other terms to the right.

Simplifying
y = 0

Subproblem 2
Set the factor '(47 + 42y)' equal to zero and attempt to solve:

Simplifying
47 + 42y = 0

Solving
47 + 42y = 0

Move all terms containing y to the left, all other terms to the right.

Add '-47' to each side of the equation.
47 + -47 + 42y = 0 + -47

Combine like terms: 47 + -47 = 0
0 + 42y = 0 + -47
42y = 0 + -47

Combine like terms: 0 + -47 = -47
42y = -47

Divide each side by '42'.
y = -1.119047619

Simplifying
y = -1.119047619
Solution
y = {0, -1.119047619}

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