5y^2+3y+10y^2-2y^2=

Solution for 5y^2+3y+10y^2-2y^2= equation:

Simplifying
5y2 + 3y + 10y2 + -2y2 = 0

Reorder the terms:
3y + 5y2 + 10y2 + -2y2 = 0

Combine like terms: 5y2 + 10y2 = 15y2
3y + 15y2 + -2y2 = 0

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

Solving
3y + 13y2 = 0

Solving for variable 'y'.

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

Simplifying
3 + 13y = 0

Solving
3 + 13y = 0

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

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

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

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

Divide each side by '13'.
y = -0.2307692308

Simplifying
y = -0.2307692308
Solution
y = {0, -0.2307692308}