30u^2+31u-6=0

Solution for 30u^2+31u-6=0 equation:

Simplifying
30u2 + 31u + -6 = 0

Reorder the terms:
-6 + 31u + 30u2 = 0

Solving
-6 + 31u + 30u2 = 0

Solving for variable 'u'.

Factor a trinomial.
(-6 + -5u)(1 + -6u) = 0

Subproblem 1
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
Subproblem 2
Set the factor '(1 + -6u)' equal to zero and attempt to solve:

Simplifying
1 + -6u = 0

Solving
1 + -6u = 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 + -6u = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -6u = 0 + -1
-6u = 0 + -1

Combine like terms: 0 + -1 = -1
-6u = -1

Divide each side by '-6'.
u = 0.1666666667

Simplifying
u = 0.1666666667
Solution
u = {-1.2, 0.1666666667}