5g^2+40g+35=0

Solution for 5g^2+40g+35=0 equation:

Simplifying
5g2 + 40g + 35 = 0

Reorder the terms:
35 + 40g + 5g2 = 0

Solving
35 + 40g + 5g2 = 0

Solving for variable 'g'.

Factor out the Greatest Common Factor (GCF), '5'.
5(7 + 8g + g2) = 0

Factor a trinomial.
5((7 + g)(1 + g)) = 0

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

Simplifying
7 + g = 0

Solving
7 + g = 0

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

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

Combine like terms: 7 + -7 = 0
0 + g = 0 + -7
g = 0 + -7

Combine like terms: 0 + -7 = -7
g = -7

Simplifying
g = -7
Subproblem 2
Set the factor '(1 + g)' equal to zero and attempt to solve:

Simplifying
1 + g = 0

Solving
1 + g = 0

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

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

Combine like terms: 1 + -1 = 0
0 + g = 0 + -1
g = 0 + -1

Combine like terms: 0 + -1 = -1
g = -1

Simplifying
g = -1
Solution
g = {-7, -1}