5y^2+4y-105=0

Solution for 5y^2+4y-105=0 equation:

Simplifying
5y2 + 4y + -105 = 0

Reorder the terms:
-105 + 4y + 5y2 = 0

Solving
-105 + 4y + 5y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(-5 + -1y)(21 + -5y) = 0

Subproblem 1
Set the factor '(-5 + -1y)' equal to zero and attempt to solve:

Simplifying
-5 + -1y = 0

Solving
-5 + -1y = 0

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

Add '5' to each side of the equation.
-5 + 5 + -1y = 0 + 5

Combine like terms: -5 + 5 = 0
0 + -1y = 0 + 5
-1y = 0 + 5

Combine like terms: 0 + 5 = 5
-1y = 5

Divide each side by '-1'.
y = -5

Simplifying
y = -5
Subproblem 2
Set the factor '(21 + -5y)' equal to zero and attempt to solve:

Simplifying
21 + -5y = 0

Solving
21 + -5y = 0

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

Add '-21' to each side of the equation.
21 + -21 + -5y = 0 + -21

Combine like terms: 21 + -21 = 0
0 + -5y = 0 + -21
-5y = 0 + -21

Combine like terms: 0 + -21 = -21
-5y = -21

Divide each side by '-5'.
y = 4.2

Simplifying
y = 4.2
Solution
y = {-5, 4.2}