-7u^2+23u-6=0

Solution for -7u^2+23u-6=0 equation:

Simplifying
-7u2 + 23u + -6 = 0

Reorder the terms:
-6 + 23u + -7u2 = 0

Solving
-6 + 23u + -7u2 = 0

Solving for variable 'u'.

Factor a trinomial.
(-3 + u)(2 + -7u) = 0

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

Simplifying
-3 + u = 0

Solving
-3 + u = 0

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

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

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

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

Simplifying
u = 3
Subproblem 2
Set the factor '(2 + -7u)' equal to zero and attempt to solve:

Simplifying
2 + -7u = 0

Solving
2 + -7u = 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 + -7u = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -7u = 0 + -2
-7u = 0 + -2

Combine like terms: 0 + -2 = -2
-7u = -2

Divide each side by '-7'.
u = 0.2857142857

Simplifying
u = 0.2857142857
Solution
u = {3, 0.2857142857}