-2u^2+26u-24=0

Solution for -2u^2+26u-24=0 equation:

Simplifying
-2u2 + 26u + -24 = 0

Reorder the terms:
-24 + 26u + -2u2 = 0

Solving
-24 + 26u + -2u2 = 0

Solving for variable 'u'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-12 + 13u + -1u2) = 0

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

Ignore the factor 2.
Subproblem 1
Set the factor '(-12 + u)' equal to zero and attempt to solve:

Simplifying
-12 + u = 0

Solving
-12 + u = 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 + u = 0 + 12

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

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

Simplifying
u = 12
Subproblem 2
Set the factor '(1 + -1u)' equal to zero and attempt to solve:

Simplifying
1 + -1u = 0

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

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

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

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

Simplifying
u = 1
Solution
u = {12, 1}