2q^2+34q-1056=0

Solution for 2q^2+34q-1056=0 equation:

Simplifying
2q2 + 34q + -1056 = 0

Reorder the terms:
-1056 + 34q + 2q2 = 0

Solving
-1056 + 34q + 2q2 = 0

Solving for variable 'q'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-528 + 17q + q2) = 0

Factor a trinomial.
2((-33 + -1q)(16 + -1q)) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(-33 + -1q)' equal to zero and attempt to solve:

Simplifying
-33 + -1q = 0

Solving
-33 + -1q = 0

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

Add '33' to each side of the equation.
-33 + 33 + -1q = 0 + 33

Combine like terms: -33 + 33 = 0
0 + -1q = 0 + 33
-1q = 0 + 33

Combine like terms: 0 + 33 = 33
-1q = 33

Divide each side by '-1'.
q = -33

Simplifying
q = -33
Subproblem 2
Set the factor '(16 + -1q)' equal to zero and attempt to solve:

Simplifying
16 + -1q = 0

Solving
16 + -1q = 0

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

Add '-16' to each side of the equation.
16 + -16 + -1q = 0 + -16

Combine like terms: 16 + -16 = 0
0 + -1q = 0 + -16
-1q = 0 + -16

Combine like terms: 0 + -16 = -16
-1q = -16

Divide each side by '-1'.
q = 16

Simplifying
q = 16
Solution
q = {-33, 16}