8u^2+43u-30=0

Solution for 8u^2+43u-30=0 equation:

Simplifying
8u2 + 43u + -30 = 0

Reorder the terms:
-30 + 43u + 8u2 = 0

Solving
-30 + 43u + 8u2 = 0

Solving for variable 'u'.

Factor a trinomial.
(-6 + -1u)(5 + -8u) = 0

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

Simplifying
-6 + -1u = 0

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

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

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

Divide each side by '-1'.
u = -6

Simplifying
u = -6
Subproblem 2
Set the factor '(5 + -8u)' equal to zero and attempt to solve:

Simplifying
5 + -8u = 0

Solving
5 + -8u = 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 + -8u = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -8u = 0 + -5
-8u = 0 + -5

Combine like terms: 0 + -5 = -5
-8u = -5

Divide each side by '-8'.
u = 0.625

Simplifying
u = 0.625
Solution
u = {-6, 0.625}