8u^2+29u-12=0

Solution for 8u^2+29u-12=0 equation:

Simplifying
8u2 + 29u + -12 = 0

Reorder the terms:
-12 + 29u + 8u2 = 0

Solving
-12 + 29u + 8u2 = 0

Solving for variable 'u'.

Factor a trinomial.
(-4 + -1u)(3 + -8u) = 0

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

Simplifying
-4 + -1u = 0

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

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

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

Divide each side by '-1'.
u = -4

Simplifying
u = -4
Subproblem 2
Set the factor '(3 + -8u)' equal to zero and attempt to solve:

Simplifying
3 + -8u = 0

Solving
3 + -8u = 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 + -8u = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -8u = 0 + -3
-8u = 0 + -3

Combine like terms: 0 + -3 = -3
-8u = -3

Divide each side by '-8'.
u = 0.375

Simplifying
u = 0.375
Solution
u = {-4, 0.375}