8u^2+u-9=0

Solution for 8u^2+u-9=0 equation:

Simplifying
8u2 + u + -9 = 0

Reorder the terms:
-9 + u + 8u2 = 0

Solving
-9 + u + 8u2 = 0

Solving for variable 'u'.

Factor a trinomial.
(-9 + -8u)(1 + -1u) = 0

Subproblem 1
Set the factor '(-9 + -8u)' equal to zero and attempt to solve:

Simplifying
-9 + -8u = 0

Solving
-9 + -8u = 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 + -8u = 0 + 9

Combine like terms: -9 + 9 = 0
0 + -8u = 0 + 9
-8u = 0 + 9

Combine like terms: 0 + 9 = 9
-8u = 9

Divide each side by '-8'.
u = -1.125

Simplifying
u = -1.125
Subproblem 2
Set the factor '(1 + -1u)' equal to zero and attempt to solve:

Simplifying
1 + -1u = 0

Solving
1 + -1u = 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 + -1u = 0 + -1

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

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

Divide each side by '-1'.
u = 1

Simplifying
u = 1
Solution
u = {-1.125, 1}