2u^2+5u-18=

Solution for 2u^2+5u-18= equation:

Simplifying
2u2 + 5u + -18 = 0

Reorder the terms:
-18 + 5u + 2u2 = 0

Solving
-18 + 5u + 2u2 = 0

Solving for variable 'u'.

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

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

Simplifying
2 + -1u = 0

Solving
2 + -1u = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1u = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1u = 0 + -2
-1u = 0 + -2

Combine like terms: 0 + -2 = -2
-1u = -2

Divide each side by '-1'.
u = 2

Simplifying
u = 2
Solution
u = {-4.5, 2}