14S^2+12S=2

Solution for 14S^2+12S=2 equation:

Simplifying
14S2 + 12S = 2

Reorder the terms:
12S + 14S2 = 2

Solving
12S + 14S2 = 2

Solving for variable 'S'.

Reorder the terms:
-2 + 12S + 14S2 = 2 + -2

Combine like terms: 2 + -2 = 0
-2 + 12S + 14S2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-1 + 6S + 7S2) = 0

Factor a trinomial.
2((-1 + -1S)(1 + -7S)) = 0

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

Simplifying
-1 + -1S = 0

Solving
-1 + -1S = 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 + -1S = 0 + 1

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

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

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

Simplifying
S = -1
Subproblem 2
Set the factor '(1 + -7S)' equal to zero and attempt to solve:

Simplifying
1 + -7S = 0

Solving
1 + -7S = 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 + -7S = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -7S = 0 + -1
-7S = 0 + -1

Combine like terms: 0 + -1 = -1
-7S = -1

Divide each side by '-7'.
S = 0.1428571429

Simplifying
S = 0.1428571429
Solution
S = {-1, 0.1428571429}