2y+3y(y-5)=

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Solution for 2y+3y(y-5)= equation: 


Simplifying
2y + 3y(y + -5) = 0

Reorder the terms:
2y + 3y(-5 + y) = 0
2y + (-5 * 3y + y * 3y) = 0
2y + (-15y + 3y2) = 0

Combine like terms: 2y + -15y = -13y
-13y + 3y2 = 0

Solving
-13y + 3y2 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), 'y'.
y(-13 + 3y) = 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 '(-13 + 3y)' equal to zero and attempt to solve:

Simplifying
-13 + 3y = 0

Solving
-13 + 3y = 0

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

Add '13' to each side of the equation.
-13 + 13 + 3y = 0 + 13

Combine like terms: -13 + 13 = 0
0 + 3y = 0 + 13
3y = 0 + 13

Combine like terms: 0 + 13 = 13
3y = 13

Divide each side by '3'.
y = 4.333333333

Simplifying
y = 4.333333333
Solution
y = {0, 4.333333333}

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