18u^2-79u-9=0

Solution for 18u^2-79u-9=0 equation:

Simplifying
18u2 + -79u + -9 = 0

Reorder the terms:
-9 + -79u + 18u2 = 0

Solving
-9 + -79u + 18u2 = 0

Solving for variable 'u'.

Factor a trinomial.
(-1 + -9u)(9 + -2u) = 0

Subproblem 1
Set the factor '(-1 + -9u)' equal to zero and attempt to solve:

Simplifying
-1 + -9u = 0

Solving
-1 + -9u = 0

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

Add '1' to each side of the equation.
-1 + 1 + -9u = 0 + 1

Combine like terms: -1 + 1 = 0
0 + -9u = 0 + 1
-9u = 0 + 1

Combine like terms: 0 + 1 = 1
-9u = 1

Divide each side by '-9'.
u = -0.1111111111

Simplifying
u = -0.1111111111
Subproblem 2
Set the factor '(9 + -2u)' equal to zero and attempt to solve:

Simplifying
9 + -2u = 0

Solving
9 + -2u = 0

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

Add '-9' to each side of the equation.
9 + -9 + -2u = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -2u = 0 + -9
-2u = 0 + -9

Combine like terms: 0 + -9 = -9
-2u = -9

Divide each side by '-2'.
u = 4.5

Simplifying
u = 4.5
Solution
u = {-0.1111111111, 4.5}