49s^2+42s=-9

Solution for 49s^2+42s=-9 equation:

Simplifying
49s2 + 42s = -9

Reorder the terms:
42s + 49s2 = -9

Solving
42s + 49s2 = -9

Solving for variable 's'.

Reorder the terms:
9 + 42s + 49s2 = -9 + 9

Combine like terms: -9 + 9 = 0
9 + 42s + 49s2 = 0

Factor a trinomial.
(3 + 7s)(3 + 7s) = 0

Subproblem 1
Set the factor '(3 + 7s)' equal to zero and attempt to solve:

Simplifying
3 + 7s = 0

Solving
3 + 7s = 0

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

Add '-3' to each side of the equation.
3 + -3 + 7s = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 7s = 0 + -3
7s = 0 + -3

Combine like terms: 0 + -3 = -3
7s = -3

Divide each side by '7'.
s = -0.4285714286

Simplifying
s = -0.4285714286
Subproblem 2
Set the factor '(3 + 7s)' equal to zero and attempt to solve:

Simplifying
3 + 7s = 0

Solving
3 + 7s = 0

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

Add '-3' to each side of the equation.
3 + -3 + 7s = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 7s = 0 + -3
7s = 0 + -3

Combine like terms: 0 + -3 = -3
7s = -3

Divide each side by '7'.
s = -0.4285714286

Simplifying
s = -0.4285714286
Solution
s = {-0.4285714286, -0.4285714286}