30u^2+97u-10=0

Solution for 30u^2+97u-10=0 equation:

Simplifying
30u2 + 97u + -10 = 0

Reorder the terms:
-10 + 97u + 30u2 = 0

Solving
-10 + 97u + 30u2 = 0

Solving for variable 'u'.

Factor a trinomial.
(-10 + -3u)(1 + -10u) = 0

Subproblem 1
Set the factor '(-10 + -3u)' equal to zero and attempt to solve:

Simplifying
-10 + -3u = 0

Solving
-10 + -3u = 0

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

Add '10' to each side of the equation.
-10 + 10 + -3u = 0 + 10

Combine like terms: -10 + 10 = 0
0 + -3u = 0 + 10
-3u = 0 + 10

Combine like terms: 0 + 10 = 10
-3u = 10

Divide each side by '-3'.
u = -3.333333333

Simplifying
u = -3.333333333
Subproblem 2
Set the factor '(1 + -10u)' equal to zero and attempt to solve:

Simplifying
1 + -10u = 0

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

Combine like terms: 1 + -1 = 0
0 + -10u = 0 + -1
-10u = 0 + -1

Combine like terms: 0 + -1 = -1
-10u = -1

Divide each side by '-10'.
u = 0.1

Simplifying
u = 0.1
Solution
u = {-3.333333333, 0.1}