4u^2+44u-48=

Solution for 4u^2+44u-48= equation:

Simplifying
4u2 + 44u + -48 = 0

Reorder the terms:
-48 + 44u + 4u2 = 0

Solving
-48 + 44u + 4u2 = 0

Solving for variable 'u'.

Factor out the Greatest Common Factor (GCF), '4'.
4(-12 + 11u + u2) = 0

Factor a trinomial.
4((-12 + -1u)(1 + -1u)) = 0

Ignore the factor 4.
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 '(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}