5y*y+y+1=85

Solution for 5y*y+y+1=85 equation:

Simplifying
5y * y + y + 1 = 85

Multiply y * y
5y2 + y + 1 = 85

Reorder the terms:
1 + y + 5y2 = 85

Solving
1 + y + 5y2 = 85

Solving for variable 'y'.

Reorder the terms:
1 + -85 + y + 5y2 = 85 + -85

Combine like terms: 1 + -85 = -84
-84 + y + 5y2 = 85 + -85

Combine like terms: 85 + -85 = 0
-84 + y + 5y2 = 0

Factor a trinomial.
(-21 + -5y)(4 + -1y) = 0

Subproblem 1
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
Subproblem 2
Set the factor '(4 + -1y)' equal to zero and attempt to solve:

Simplifying
4 + -1y = 0

Solving
4 + -1y = 0

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

Add '-4' to each side of the equation.
4 + -4 + -1y = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1y = 0 + -4
-1y = 0 + -4

Combine like terms: 0 + -4 = -4
-1y = -4

Divide each side by '-1'.
y = 4

Simplifying
y = 4
Solution
y = {-4.2, 4}