49y^2+31y=18

Solution for 49y^2+31y=18 equation:

Simplifying
49y2 + 31y = 18

Reorder the terms:
31y + 49y2 = 18

Solving
31y + 49y2 = 18

Solving for variable 'y'.

Reorder the terms:
-18 + 31y + 49y2 = 18 + -18

Combine like terms: 18 + -18 = 0
-18 + 31y + 49y2 = 0

Factor a trinomial.
(-1 + -1y)(18 + -49y) = 0

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

Simplifying
-1 + -1y = 0

Solving
-1 + -1y = 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 + -1y = 0 + 1

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

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

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

Simplifying
y = -1
Subproblem 2
Set the factor '(18 + -49y)' equal to zero and attempt to solve:

Simplifying
18 + -49y = 0

Solving
18 + -49y = 0

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

Add '-18' to each side of the equation.
18 + -18 + -49y = 0 + -18

Combine like terms: 18 + -18 = 0
0 + -49y = 0 + -18
-49y = 0 + -18

Combine like terms: 0 + -18 = -18
-49y = -18

Divide each side by '-49'.
y = 0.3673469388

Simplifying
y = 0.3673469388
Solution
y = {-1, 0.3673469388}