100g^2+240g+144=0

Solution for 100g^2+240g+144=0 equation:

Simplifying
100g2 + 240g + 144 = 0

Reorder the terms:
144 + 240g + 100g2 = 0

Solving
144 + 240g + 100g2 = 0

Solving for variable 'g'.

Factor out the Greatest Common Factor (GCF), '4'.
4(36 + 60g + 25g2) = 0

Factor a trinomial.
4((6 + 5g)(6 + 5g)) = 0

Ignore the factor 4.
Subproblem 1
Set the factor '(6 + 5g)' equal to zero and attempt to solve:

Simplifying
6 + 5g = 0

Solving
6 + 5g = 0

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

Add '-6' to each side of the equation.
6 + -6 + 5g = 0 + -6

Combine like terms: 6 + -6 = 0
0 + 5g = 0 + -6
5g = 0 + -6

Combine like terms: 0 + -6 = -6
5g = -6

Divide each side by '5'.
g = -1.2

Simplifying
g = -1.2
Subproblem 2
Set the factor '(6 + 5g)' equal to zero and attempt to solve:

Simplifying
6 + 5g = 0

Solving
6 + 5g = 0

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

Add '-6' to each side of the equation.
6 + -6 + 5g = 0 + -6

Combine like terms: 6 + -6 = 0
0 + 5g = 0 + -6
5g = 0 + -6

Combine like terms: 0 + -6 = -6
5g = -6

Divide each side by '5'.
g = -1.2

Simplifying
g = -1.2
Solution
g = {-1.2, -1.2}