3u^2-u-10=0

Solution for 3u^2-u-10=0 equation:

Simplifying
3u2 + -1u + -10 = 0

Reorder the terms:
-10 + -1u + 3u2 = 0

Solving
-10 + -1u + 3u2 = 0

Solving for variable 'u'.

Factor a trinomial.
(-5 + -3u)(2 + -1u) = 0

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

Simplifying
-5 + -3u = 0

Solving
-5 + -3u = 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 + -3u = 0 + 5

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

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

Divide each side by '-3'.
u = -1.666666667

Simplifying
u = -1.666666667
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 = {-1.666666667, 2}