-7u^2+18u-8=0

Solution for -7u^2+18u-8=0 equation:

Simplifying
-7u2 + 18u + -8 = 0

Reorder the terms:
-8 + 18u + -7u2 = 0

Solving
-8 + 18u + -7u2 = 0

Solving for variable 'u'.

Factor a trinomial.
(-2 + u)(4 + -7u) = 0

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

Simplifying
-2 + u = 0

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

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

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

Simplifying
u = 2
Subproblem 2
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
Solution
u = {2, 0.5714285714}