8u^2+63u-8=0

Solution for 8u^2+63u-8=0 equation:

Simplifying
8u2 + 63u + -8 = 0

Reorder the terms:
-8 + 63u + 8u2 = 0

Solving
-8 + 63u + 8u2 = 0

Solving for variable 'u'.

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

Subproblem 1
Set the factor '(-8 + -1u)' equal to zero and attempt to solve:

Simplifying
-8 + -1u = 0

Solving
-8 + -1u = 0

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

Add '8' to each side of the equation.
-8 + 8 + -1u = 0 + 8

Combine like terms: -8 + 8 = 0
0 + -1u = 0 + 8
-1u = 0 + 8

Combine like terms: 0 + 8 = 8
-1u = 8

Divide each side by '-1'.
u = -8

Simplifying
u = -8
Subproblem 2
Set the factor '(1 + -8u)' equal to zero and attempt to solve:

Simplifying
1 + -8u = 0

Solving
1 + -8u = 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 + -8u = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -8u = 0 + -1
-8u = 0 + -1

Combine like terms: 0 + -1 = -1
-8u = -1

Divide each side by '-8'.
u = 0.125

Simplifying
u = 0.125
Solution
u = {-8, 0.125}