5u^2-4u-12=0

Solution for 5u^2-4u-12=0 equation:

Simplifying
5u2 + -4u + -12 = 0

Reorder the terms:
-12 + -4u + 5u2 = 0

Solving
-12 + -4u + 5u2 = 0

Solving for variable 'u'.

Factor a trinomial.
(-6 + -5u)(2 + -1u) = 0

Subproblem 1
Set the factor '(-6 + -5u)' equal to zero and attempt to solve:

Simplifying
-6 + -5u = 0

Solving
-6 + -5u = 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 + -5u = 0 + 6

Combine like terms: -6 + 6 = 0
0 + -5u = 0 + 6
-5u = 0 + 6

Combine like terms: 0 + 6 = 6
-5u = 6

Divide each side by '-5'.
u = -1.2

Simplifying
u = -1.2
Subproblem 2
Set the factor '(2 + -1u)' equal to zero and attempt to solve:

Simplifying
2 + -1u = 0

Solving
2 + -1u = 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 + -1u = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1u = 0 + -2
-1u = 0 + -2

Combine like terms: 0 + -2 = -2
-1u = -2

Divide each side by '-1'.
u = 2

Simplifying
u = 2
Solution
u = {-1.2, 2}