49y^2+84y+36=0

Solution for 49y^2+84y+36=0 equation:

Simplifying
49y2 + 84y + 36 = 0

Reorder the terms:
36 + 84y + 49y2 = 0

Solving
36 + 84y + 49y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(6 + 7y)(6 + 7y) = 0

Subproblem 1
Set the factor '(6 + 7y)' equal to zero and attempt to solve:

Simplifying
6 + 7y = 0

Solving
6 + 7y = 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 + 7y = 0 + -6

Combine like terms: 6 + -6 = 0
0 + 7y = 0 + -6
7y = 0 + -6

Combine like terms: 0 + -6 = -6
7y = -6

Divide each side by '7'.
y = -0.8571428571

Simplifying
y = -0.8571428571
Subproblem 2
Set the factor '(6 + 7y)' equal to zero and attempt to solve:

Simplifying
6 + 7y = 0

Solving
6 + 7y = 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 + 7y = 0 + -6

Combine like terms: 6 + -6 = 0
0 + 7y = 0 + -6
7y = 0 + -6

Combine like terms: 0 + -6 = -6
7y = -6

Divide each side by '7'.
y = -0.8571428571

Simplifying
y = -0.8571428571
Solution
y = {-0.8571428571, -0.8571428571}