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

Solution for -2u(u+7)(u+6)=0 equation:

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

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

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

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

Combine like terms: 7u + 6u = 13u
-2u(42 + 13u + u2) = 0
(42 * -2u + 13u * -2u + u2 * -2u) = 0
(-84u + -26u2 + -2u3) = 0

Solving
-84u + -26u2 + -2u3 = 0

Solving for variable 'u'.

Factor out the Greatest Common Factor (GCF), '-2u'.
-2u(42 + 13u + u2) = 0

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

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

Simplifying
u = 0

Solving
u = 0

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

Simplifying
u = 0
Subproblem 2
Set the factor '(7 + u)' equal to zero and attempt to solve:

Simplifying
7 + u = 0

Solving
7 + u = 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 + u = 0 + -7

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

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

Simplifying
u = -7
Subproblem 3
Set the factor '(6 + u)' equal to zero and attempt to solve:

Simplifying
6 + u = 0

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

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

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

Simplifying
u = -6
Solution
u = {0, -7, -6}