7u^2-31u-20=0

Solution for 7u^2-31u-20=0 equation:

Simplifying
7u2 + -31u + -20 = 0

Reorder the terms:
-20 + -31u + 7u2 = 0

Solving
-20 + -31u + 7u2 = 0

Solving for variable 'u'.

Factor a trinomial.
(-4 + -7u)(5 + -1u) = 0

Subproblem 1
Set the factor '(-4 + -7u)' equal to zero and attempt to solve:

Simplifying
-4 + -7u = 0

Solving
-4 + -7u = 0

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

Add '4' to each side of the equation.
-4 + 4 + -7u = 0 + 4

Combine like terms: -4 + 4 = 0
0 + -7u = 0 + 4
-7u = 0 + 4

Combine like terms: 0 + 4 = 4
-7u = 4

Divide each side by '-7'.
u = -0.5714285714

Simplifying
u = -0.5714285714
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 = {-0.5714285714, 5}