(5y+3y^2)+(8y-6y^2)=

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Solution for (5y+3y^2)+(8y-6y^2)= equation: 


Simplifying
(5y + 3y2) + (8y + -6y2) = 0

Remove parenthesis around (5y + 3y2)
5y + 3y2 + (8y + -6y2) = 0

Remove parenthesis around (8y + -6y2)
5y + 3y2 + 8y + -6y2 = 0

Reorder the terms:
5y + 8y + 3y2 + -6y2 = 0

Combine like terms: 5y + 8y = 13y
13y + 3y2 + -6y2 = 0

Combine like terms: 3y2 + -6y2 = -3y2
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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