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

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

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

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

Combine like terms: 3y + -2y = 1y
1y + 5y2 + 10y2 = 0

Combine like terms: 5y2 + 10y2 = 15y2
1y + 15y2 = 0

Solving
1y + 15y2 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), 'y'.
y(1 + 15y) = 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 '(1 + 15y)' equal to zero and attempt to solve:

Simplifying
1 + 15y = 0

Solving
1 + 15y = 0

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

Add '-1' to each side of the equation.
1 + -1 + 15y = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 15y = 0 + -1
15y = 0 + -1

Combine like terms: 0 + -1 = -1
15y = -1

Divide each side by '15'.
y = -0.06666666667

Simplifying
y = -0.06666666667
Solution
y = {0, -0.06666666667}