g^2-14g+40=0

Solution for g^2-14g+40=0 equation:

Simplifying
g2 + -14g + 40 = 0

Reorder the terms:
40 + -14g + g2 = 0

Solving
40 + -14g + g2 = 0

Solving for variable 'g'.

Factor a trinomial.
(4 + -1g)(10 + -1g) = 0

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

Simplifying
4 + -1g = 0

Solving
4 + -1g = 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 + -1g = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1g = 0 + -4
-1g = 0 + -4

Combine like terms: 0 + -4 = -4
-1g = -4

Divide each side by '-1'.
g = 4

Simplifying
g = 4
Subproblem 2
Set the factor '(10 + -1g)' equal to zero and attempt to solve:

Simplifying
10 + -1g = 0

Solving
10 + -1g = 0

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

Add '-10' to each side of the equation.
10 + -10 + -1g = 0 + -10

Combine like terms: 10 + -10 = 0
0 + -1g = 0 + -10
-1g = 0 + -10

Combine like terms: 0 + -10 = -10
-1g = -10

Divide each side by '-1'.
g = 10

Simplifying
g = 10
Solution
g = {4, 10}