0=2g^2-14g+24

Solution for 0=2g^2-14g+24 equation:

Simplifying
0 = 2g2 + -14g + 24

Reorder the terms:
0 = 24 + -14g + 2g2

Solving
0 = 24 + -14g + 2g2

Solving for variable 'g'.

Combine like terms: 0 + -24 = -24
-24 + 14g + -2g2 = 24 + -14g + 2g2 + -24 + 14g + -2g2

Reorder the terms:
-24 + 14g + -2g2 = 24 + -24 + -14g + 14g + 2g2 + -2g2

Combine like terms: 24 + -24 = 0
-24 + 14g + -2g2 = 0 + -14g + 14g + 2g2 + -2g2
-24 + 14g + -2g2 = -14g + 14g + 2g2 + -2g2

Combine like terms: -14g + 14g = 0
-24 + 14g + -2g2 = 0 + 2g2 + -2g2
-24 + 14g + -2g2 = 2g2 + -2g2

Combine like terms: 2g2 + -2g2 = 0
-24 + 14g + -2g2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-12 + 7g + -1g2) = 0

Factor a trinomial.
2((-4 + g)(3 + -1g)) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(-4 + g)' equal to zero and attempt to solve:

Simplifying
-4 + g = 0

Solving
-4 + g = 0

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

Add '4' to each side of the equation.
-4 + 4 + g = 0 + 4

Combine like terms: -4 + 4 = 0
0 + g = 0 + 4
g = 0 + 4

Combine like terms: 0 + 4 = 4
g = 4

Simplifying
g = 4
Subproblem 2
Set the factor '(3 + -1g)' equal to zero and attempt to solve:

Simplifying
3 + -1g = 0

Solving
3 + -1g = 0

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

Add '-3' to each side of the equation.
3 + -3 + -1g = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1g = 0 + -3
-1g = 0 + -3

Combine like terms: 0 + -3 = -3
-1g = -3

Divide each side by '-1'.
g = 3

Simplifying
g = 3
Solution
g = {4, 3}