7q^2+49q+70=0

Solution for 7q^2+49q+70=0 equation:

Simplifying
7q2 + 49q + 70 = 0

Reorder the terms:
70 + 49q + 7q2 = 0

Solving
70 + 49q + 7q2 = 0

Solving for variable 'q'.

Factor out the Greatest Common Factor (GCF), '7'.
7(10 + 7q + q2) = 0

Factor a trinomial.
7((5 + q)(2 + q)) = 0

Ignore the factor 7.
Subproblem 1
Set the factor '(5 + q)' equal to zero and attempt to solve:

Simplifying
5 + q = 0

Solving
5 + q = 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 + q = 0 + -5

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

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

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

Simplifying
2 + q = 0

Solving
2 + q = 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 + q = 0 + -2

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

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

Simplifying
q = -2
Solution
q = {-5, -2}