4y^2+y-95=0

Solution for 4y^2+y-95=0 equation:

Simplifying
4y2 + y + -95 = 0

Reorder the terms:
-95 + y + 4y2 = 0

Solving
-95 + y + 4y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(-5 + -1y)(19 + -4y) = 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 '(19 + -4y)' equal to zero and attempt to solve:

Simplifying
19 + -4y = 0

Solving
19 + -4y = 0

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

Add '-19' to each side of the equation.
19 + -19 + -4y = 0 + -19

Combine like terms: 19 + -19 = 0
0 + -4y = 0 + -19
-4y = 0 + -19

Combine like terms: 0 + -19 = -19
-4y = -19

Divide each side by '-4'.
y = 4.75

Simplifying
y = 4.75
Solution
y = {-5, 4.75}