5y^2-13y-6y=0

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Solution for 5y^2-13y-6y=0 equation: 


Simplifying
5y2 + -13y + -6y = 0

Reorder the terms:
-13y + -6y + 5y2 = 0

Combine like terms: -13y + -6y = -19y
-19y + 5y2 = 0

Solving
-19y + 5y2 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), 'y'.
y(-19 + 5y) = 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 '(-19 + 5y)' equal to zero and attempt to solve:

Simplifying
-19 + 5y = 0

Solving
-19 + 5y = 0

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

Add '19' to each side of the equation.
-19 + 19 + 5y = 0 + 19

Combine like terms: -19 + 19 = 0
0 + 5y = 0 + 19
5y = 0 + 19

Combine like terms: 0 + 19 = 19
5y = 19

Divide each side by '5'.
y = 3.8

Simplifying
y = 3.8
Solution
y = {0, 3.8}

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