14y^2+41y+27=

Solution for 14y^2+41y+27= equation:

Simplifying
14y2 + 41y + 27 = 0

Reorder the terms:
27 + 41y + 14y2 = 0

Solving
27 + 41y + 14y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(27 + 14y)(1 + y) = 0

Subproblem 1
Set the factor '(27 + 14y)' equal to zero and attempt to solve:

Simplifying
27 + 14y = 0

Solving
27 + 14y = 0

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

Add '-27' to each side of the equation.
27 + -27 + 14y = 0 + -27

Combine like terms: 27 + -27 = 0
0 + 14y = 0 + -27
14y = 0 + -27

Combine like terms: 0 + -27 = -27
14y = -27

Divide each side by '14'.
y = -1.928571429

Simplifying
y = -1.928571429
Subproblem 2
Set the factor '(1 + y)' equal to zero and attempt to solve:

Simplifying
1 + y = 0

Solving
1 + y = 0

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

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

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

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

Simplifying
y = -1
Solution
y = {-1.928571429, -1}