48(u-6)(2u-7)=

Solution for 48(u-6)(2u-7)= equation:

Simplifying
48(u + -6)(2u + -7) = 0

Reorder the terms:
48(-6 + u)(2u + -7) = 0

Reorder the terms:
48(-6 + u)(-7 + 2u) = 0

Multiply (-6 + u) * (-7 + 2u)
48(-6(-7 + 2u) + u(-7 + 2u)) = 0
48((-7 * -6 + 2u * -6) + u(-7 + 2u)) = 0
48((42 + -12u) + u(-7 + 2u)) = 0
48(42 + -12u + (-7 * u + 2u * u)) = 0
48(42 + -12u + (-7u + 2u2)) = 0

Combine like terms: -12u + -7u = -19u
48(42 + -19u + 2u2) = 0
(42 * 48 + -19u * 48 + 2u2 * 48) = 0
(2016 + -912u + 96u2) = 0

Solving
2016 + -912u + 96u2 = 0

Solving for variable 'u'.

Factor out the Greatest Common Factor (GCF), '48'.
48(42 + -19u + 2u2) = 0

Factor a trinomial.
48((7 + -2u)(6 + -1u)) = 0

Ignore the factor 48.
Subproblem 1
Set the factor '(7 + -2u)' equal to zero and attempt to solve:

Simplifying
7 + -2u = 0

Solving
7 + -2u = 0

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

Add '-7' to each side of the equation.
7 + -7 + -2u = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -2u = 0 + -7
-2u = 0 + -7

Combine like terms: 0 + -7 = -7
-2u = -7

Divide each side by '-2'.
u = 3.5

Simplifying
u = 3.5
Subproblem 2
Set the factor '(6 + -1u)' equal to zero and attempt to solve:

Simplifying
6 + -1u = 0

Solving
6 + -1u = 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 + -1u = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1u = 0 + -6
-1u = 0 + -6

Combine like terms: 0 + -6 = -6
-1u = -6

Divide each side by '-1'.
u = 6

Simplifying
u = 6
Solution
u = {3.5, 6}