30s^2-4s=2

Solution for 30s^2-4s=2 equation:

Simplifying
30s2 + -4s = 2

Reorder the terms:
-4s + 30s2 = 2

Solving
-4s + 30s2 = 2

Solving for variable 's'.

Reorder the terms:
-2 + -4s + 30s2 = 2 + -2

Combine like terms: 2 + -2 = 0
-2 + -4s + 30s2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-1 + -2s + 15s2) = 0

Factor a trinomial.
2((-1 + -5s)(1 + -3s)) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(-1 + -5s)' equal to zero and attempt to solve:

Simplifying
-1 + -5s = 0

Solving
-1 + -5s = 0

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

Add '1' to each side of the equation.
-1 + 1 + -5s = 0 + 1

Combine like terms: -1 + 1 = 0
0 + -5s = 0 + 1
-5s = 0 + 1

Combine like terms: 0 + 1 = 1
-5s = 1

Divide each side by '-5'.
s = -0.2

Simplifying
s = -0.2
Subproblem 2
Set the factor '(1 + -3s)' equal to zero and attempt to solve:

Simplifying
1 + -3s = 0

Solving
1 + -3s = 0

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

Add '-1' to each side of the equation.
1 + -1 + -3s = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -3s = 0 + -1
-3s = 0 + -1

Combine like terms: 0 + -1 = -1
-3s = -1

Divide each side by '-3'.
s = 0.3333333333

Simplifying
s = 0.3333333333
Solution
s = {-0.2, 0.3333333333}