5y(6y+8)+18y=

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Solution for 5y(6y+8)+18y= equation: 


Simplifying
5y(6y + 8) + 18y = 0

Reorder the terms:
5y(8 + 6y) + 18y = 0
(8 * 5y + 6y * 5y) + 18y = 0
(40y + 30y2) + 18y = 0

Reorder the terms:
40y + 18y + 30y2 = 0

Combine like terms: 40y + 18y = 58y
58y + 30y2 = 0

Solving
58y + 30y2 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '2y'.
2y(29 + 15y) = 0

Ignore the factor 2.

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 '(29 + 15y)' equal to zero and attempt to solve:

Simplifying
29 + 15y = 0

Solving
29 + 15y = 0

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

Add '-29' to each side of the equation.
29 + -29 + 15y = 0 + -29

Combine like terms: 29 + -29 = 0
0 + 15y = 0 + -29
15y = 0 + -29

Combine like terms: 0 + -29 = -29
15y = -29

Divide each side by '15'.
y = -1.933333333

Simplifying
y = -1.933333333
Solution
y = {0, -1.933333333}

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