112y^2+1761y+6534=0

Solution for 112y^2+1761y+6534=0 equation:

Simplifying
112y2 + 1761y + 6534 = 0

Reorder the terms:
6534 + 1761y + 112y2 = 0

Solving
6534 + 1761y + 112y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(1089 + 112y)(6 + y) = 0

Subproblem 1
Set the factor '(1089 + 112y)' equal to zero and attempt to solve:

Simplifying
1089 + 112y = 0

Solving
1089 + 112y = 0

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

Add '-1089' to each side of the equation.
1089 + -1089 + 112y = 0 + -1089

Combine like terms: 1089 + -1089 = 0
0 + 112y = 0 + -1089
112y = 0 + -1089

Combine like terms: 0 + -1089 = -1089
112y = -1089

Divide each side by '112'.
y = -9.723214286

Simplifying
y = -9.723214286
Subproblem 2
Set the factor '(6 + y)' equal to zero and attempt to solve:

Simplifying
6 + y = 0

Solving
6 + y = 0

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

Add '-6' to each side of the equation.
6 + -6 + y = 0 + -6

Combine like terms: 6 + -6 = 0
0 + y = 0 + -6
y = 0 + -6

Combine like terms: 0 + -6 = -6
y = -6

Simplifying
y = -6
Solution
y = {-9.723214286, -6}