5q^2+48q-704=0

Solution for 5q^2+48q-704=0 equation:

Simplifying
5q2 + 48q + -704 = 0

Reorder the terms:
-704 + 48q + 5q2 = 0

Solving
-704 + 48q + 5q2 = 0

Solving for variable 'q'.

Factor a trinomial.
(-88 + -5q)(8 + -1q) = 0

Subproblem 1
Set the factor '(-88 + -5q)' equal to zero and attempt to solve:

Simplifying
-88 + -5q = 0

Solving
-88 + -5q = 0

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

Add '88' to each side of the equation.
-88 + 88 + -5q = 0 + 88

Combine like terms: -88 + 88 = 0
0 + -5q = 0 + 88
-5q = 0 + 88

Combine like terms: 0 + 88 = 88
-5q = 88

Divide each side by '-5'.
q = -17.6

Simplifying
q = -17.6
Subproblem 2
Set the factor '(8 + -1q)' equal to zero and attempt to solve:

Simplifying
8 + -1q = 0

Solving
8 + -1q = 0

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

Add '-8' to each side of the equation.
8 + -8 + -1q = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -1q = 0 + -8
-1q = 0 + -8

Combine like terms: 0 + -8 = -8
-1q = -8

Divide each side by '-1'.
q = 8

Simplifying
q = 8
Solution
q = {-17.6, 8}