8u^2-30u+7=0

Solution for 8u^2-30u+7=0 equation:

Simplifying
8u2 + -30u + 7 = 0

Reorder the terms:
7 + -30u + 8u2 = 0

Solving
7 + -30u + 8u2 = 0

Solving for variable 'u'.

Factor a trinomial.
(1 + -4u)(7 + -2u) = 0

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

Simplifying
1 + -4u = 0

Solving
1 + -4u = 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 + -4u = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -4u = 0 + -1
-4u = 0 + -1

Combine like terms: 0 + -1 = -1
-4u = -1

Divide each side by '-4'.
u = 0.25

Simplifying
u = 0.25
Subproblem 2
Set the factor '(7 + -2u)' equal to zero and attempt to solve:

Simplifying
7 + -2u = 0

Solving
7 + -2u = 0

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

Add '-7' to each side of the equation.
7 + -7 + -2u = 0 + -7

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

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

Divide each side by '-2'.
u = 3.5

Simplifying
u = 3.5
Solution
u = {0.25, 3.5}