38q^2+74q-4=0

Solution for 38q^2+74q-4=0 equation:

Simplifying
38q2 + 74q + -4 = 0

Reorder the terms:
-4 + 74q + 38q2 = 0

Solving
-4 + 74q + 38q2 = 0

Solving for variable 'q'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-2 + 37q + 19q2) = 0

Factor a trinomial.
2((-2 + -1q)(1 + -19q)) = 0

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

Simplifying
-2 + -1q = 0

Solving
-2 + -1q = 0

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

Add '2' to each side of the equation.
-2 + 2 + -1q = 0 + 2

Combine like terms: -2 + 2 = 0
0 + -1q = 0 + 2
-1q = 0 + 2

Combine like terms: 0 + 2 = 2
-1q = 2

Divide each side by '-1'.
q = -2

Simplifying
q = -2
Subproblem 2
Set the factor '(1 + -19q)' equal to zero and attempt to solve:

Simplifying
1 + -19q = 0

Solving
1 + -19q = 0

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

Add '-1' to each side of the equation.
1 + -1 + -19q = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -19q = 0 + -1
-19q = 0 + -1

Combine like terms: 0 + -1 = -1
-19q = -1

Divide each side by '-19'.
q = 0.05263157895

Simplifying
q = 0.05263157895
Solution
q = {-2, 0.05263157895}