3s^2+8s=2s-9

Solution for 3s^2+8s=2s-9 equation:

Simplifying
3s2 + 8s = 2s + -9

Reorder the terms:
8s + 3s2 = 2s + -9

Reorder the terms:
8s + 3s2 = -9 + 2s

Solving
8s + 3s2 = -9 + 2s

Solving for variable 's'.

Reorder the terms:
9 + 8s + -2s + 3s2 = -9 + 2s + 9 + -2s

Combine like terms: 8s + -2s = 6s
9 + 6s + 3s2 = -9 + 2s + 9 + -2s

Reorder the terms:
9 + 6s + 3s2 = -9 + 9 + 2s + -2s

Combine like terms: -9 + 9 = 0
9 + 6s + 3s2 = 0 + 2s + -2s
9 + 6s + 3s2 = 2s + -2s

Combine like terms: 2s + -2s = 0
9 + 6s + 3s2 = 0

Factor out the Greatest Common Factor (GCF), '3'.
3(3 + 2s + s2) = 0

Ignore the factor 3.
Subproblem 1
Set the factor '(3 + 2s + s2)' equal to zero and attempt to solve:

Simplifying
3 + 2s + s2 = 0

Solving
3 + 2s + s2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-3' to each side of the equation.
3 + 2s + -3 + s2 = 0 + -3

Reorder the terms:
3 + -3 + 2s + s2 = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 2s + s2 = 0 + -3
2s + s2 = 0 + -3

Combine like terms: 0 + -3 = -3
2s + s2 = -3

The s term is 2s.  Take half its coefficient (1).
Square it (1) and add it to both sides.

Add '1' to each side of the equation.
2s + 1 + s2 = -3 + 1

Reorder the terms:
1 + 2s + s2 = -3 + 1

Combine like terms: -3 + 1 = -2
1 + 2s + s2 = -2

Factor a perfect square on the left side:
(s + 1)(s + 1) = -2

Can't calculate square root of the right side.

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.