25u^2-15u-18=0

Solution for 25u^2-15u-18=0 equation:

Simplifying
25u2 + -15u + -18 = 0

Reorder the terms:
-18 + -15u + 25u2 = 0

Solving
-18 + -15u + 25u2 = 0

Solving for variable 'u'.

Factor a trinomial.
(-3 + -5u)(6 + -5u) = 0

Subproblem 1
Set the factor '(-3 + -5u)' equal to zero and attempt to solve:

Simplifying
-3 + -5u = 0

Solving
-3 + -5u = 0

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

Add '3' to each side of the equation.
-3 + 3 + -5u = 0 + 3

Combine like terms: -3 + 3 = 0
0 + -5u = 0 + 3
-5u = 0 + 3

Combine like terms: 0 + 3 = 3
-5u = 3

Divide each side by '-5'.
u = -0.6

Simplifying
u = -0.6
Subproblem 2
Set the factor '(6 + -5u)' equal to zero and attempt to solve:

Simplifying
6 + -5u = 0

Solving
6 + -5u = 0

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

Add '-6' to each side of the equation.
6 + -6 + -5u = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -5u = 0 + -6
-5u = 0 + -6

Combine like terms: 0 + -6 = -6
-5u = -6

Divide each side by '-5'.
u = 1.2

Simplifying
u = 1.2
Solution
u = {-0.6, 1.2}