5u^2-18u-35=0

Solution for 5u^2-18u-35=0 equation:

Simplifying
5u2 + -18u + -35 = 0

Reorder the terms:
-35 + -18u + 5u2 = 0

Solving
-35 + -18u + 5u2 = 0

Solving for variable 'u'.

Factor a trinomial.
(-7 + -5u)(5 + -1u) = 0

Subproblem 1
Set the factor '(-7 + -5u)' equal to zero and attempt to solve:

Simplifying
-7 + -5u = 0

Solving
-7 + -5u = 0

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

Add '7' to each side of the equation.
-7 + 7 + -5u = 0 + 7

Combine like terms: -7 + 7 = 0
0 + -5u = 0 + 7
-5u = 0 + 7

Combine like terms: 0 + 7 = 7
-5u = 7

Divide each side by '-5'.
u = -1.4

Simplifying
u = -1.4
Subproblem 2
Set the factor '(5 + -1u)' equal to zero and attempt to solve:

Simplifying
5 + -1u = 0

Solving
5 + -1u = 0

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

Add '-5' to each side of the equation.
5 + -5 + -1u = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1u = 0 + -5
-1u = 0 + -5

Combine like terms: 0 + -5 = -5
-1u = -5

Divide each side by '-1'.
u = 5

Simplifying
u = 5
Solution
u = {-1.4, 5}