3q^2+8q-35=0

Solution for 3q^2+8q-35=0 equation:

Simplifying
3q2 + 8q + -35 = 0

Reorder the terms:
-35 + 8q + 3q2 = 0

Solving
-35 + 8q + 3q2 = 0

Solving for variable 'q'.

Factor a trinomial.
(-5 + -1q)(7 + -3q) = 0

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

Simplifying
-5 + -1q = 0

Solving
-5 + -1q = 0

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

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

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

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

Divide each side by '-1'.
q = -5

Simplifying
q = -5
Subproblem 2
Set the factor '(7 + -3q)' equal to zero and attempt to solve:

Simplifying
7 + -3q = 0

Solving
7 + -3q = 0

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

Add '-7' to each side of the equation.
7 + -7 + -3q = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -3q = 0 + -7
-3q = 0 + -7

Combine like terms: 0 + -7 = -7
-3q = -7

Divide each side by '-3'.
q = 2.333333333

Simplifying
q = 2.333333333
Solution
q = {-5, 2.333333333}