u^2+10u-24=0

Solution for u^2+10u-24=0 equation:

Simplifying
u2 + 10u + -24 = 0

Reorder the terms:
-24 + 10u + u2 = 0

Solving
-24 + 10u + u2 = 0

Solving for variable 'u'.

Factor a trinomial.
(-12 + -1u)(2 + -1u) = 0

Subproblem 1
Set the factor '(-12 + -1u)' equal to zero and attempt to solve:

Simplifying
-12 + -1u = 0

Solving
-12 + -1u = 0

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

Add '12' to each side of the equation.
-12 + 12 + -1u = 0 + 12

Combine like terms: -12 + 12 = 0
0 + -1u = 0 + 12
-1u = 0 + 12

Combine like terms: 0 + 12 = 12
-1u = 12

Divide each side by '-1'.
u = -12

Simplifying
u = -12
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 = {-12, 2}