4y^2+2y+1-y^2-9=

Solution for 4y^2+2y+1-y^2-9= equation:

Simplifying
4y2 + 2y + 1 + -1y2 + -9 = 0

Reorder the terms:
1 + -9 + 2y + 4y2 + -1y2 = 0

Combine like terms: 1 + -9 = -8
-8 + 2y + 4y2 + -1y2 = 0

Combine like terms: 4y2 + -1y2 = 3y2
-8 + 2y + 3y2 = 0

Solving
-8 + 2y + 3y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(-2 + -1y)(4 + -3y) = 0

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

Simplifying
-2 + -1y = 0

Solving
-2 + -1y = 0

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

Add '2' to each side of the equation.
-2 + 2 + -1y = 0 + 2

Combine like terms: -2 + 2 = 0
0 + -1y = 0 + 2
-1y = 0 + 2

Combine like terms: 0 + 2 = 2
-1y = 2

Divide each side by '-1'.
y = -2

Simplifying
y = -2
Subproblem 2
Set the factor '(4 + -3y)' equal to zero and attempt to solve:

Simplifying
4 + -3y = 0

Solving
4 + -3y = 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 + -3y = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -3y = 0 + -4
-3y = 0 + -4

Combine like terms: 0 + -4 = -4
-3y = -4

Divide each side by '-3'.
y = 1.333333333

Simplifying
y = 1.333333333
Solution
y = {-2, 1.333333333}