(3y^2)+y-30=0

Solution for (3y^2)+y-30=0 equation:

Simplifying
(3y2) + y + -30 = 0

Reorder the terms:
-30 + y + (3y2) = 0

Solving
-30 + y + (3y2) = 0

Solving for variable 'y'.

Factor a trinomial.
(-10 + -3y)(3 + -1y) = 0

Subproblem 1
Set the factor '(-10 + -3y)' equal to zero and attempt to solve:

Simplifying
-10 + -3y = 0

Solving
-10 + -3y = 0

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

Add '10' to each side of the equation.
-10 + 10 + -3y = 0 + 10

Combine like terms: -10 + 10 = 0
0 + -3y = 0 + 10
-3y = 0 + 10

Combine like terms: 0 + 10 = 10
-3y = 10

Divide each side by '-3'.
y = -3.333333333

Simplifying
y = -3.333333333
Subproblem 2
Set the factor '(3 + -1y)' equal to zero and attempt to solve:

Simplifying
3 + -1y = 0

Solving
3 + -1y = 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 + -1y = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1y = 0 + -3
-1y = 0 + -3

Combine like terms: 0 + -3 = -3
-1y = -3

Divide each side by '-1'.
y = 3

Simplifying
y = 3
Solution
y = {-3.333333333, 3}