7s^2+25s+12=(s+3)

Solution for 7s^2+25s+12=(s+3) equation:

Simplifying
7s2 + 25s + 12 = (s + 3)

Reorder the terms:
12 + 25s + 7s2 = (s + 3)

Reorder the terms:
12 + 25s + 7s2 = (3 + s)

Remove parenthesis around (3 + s)
12 + 25s + 7s2 = 3 + s

Solving
12 + 25s + 7s2 = 3 + s

Solving for variable 's'.

Reorder the terms:
12 + -3 + 25s + -1s + 7s2 = 3 + s + -3 + -1s

Combine like terms: 12 + -3 = 9
9 + 25s + -1s + 7s2 = 3 + s + -3 + -1s

Combine like terms: 25s + -1s = 24s
9 + 24s + 7s2 = 3 + s + -3 + -1s

Reorder the terms:
9 + 24s + 7s2 = 3 + -3 + s + -1s

Combine like terms: 3 + -3 = 0
9 + 24s + 7s2 = 0 + s + -1s
9 + 24s + 7s2 = s + -1s

Combine like terms: s + -1s = 0
9 + 24s + 7s2 = 0

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

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

Simplifying
3 + s = 0

Solving
3 + s = 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 + s = 0 + -3

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

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

Simplifying
s = -3
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 = {-3, -0.4285714286}