(u+7)x(u-4)=

Solution for (u+7)x(u-4)= equation:

Simplifying
(u + 7) * x(u + -4) = 0

Reorder the terms:
(7 + u) * x(u + -4) = 0

Reorder the terms:
(7 + u) * x(-4 + u) = 0

Reorder the terms for easier multiplication:
x(7 + u)(-4 + u) = 0

Multiply (7 + u) * (-4 + u)
x(7(-4 + u) + u(-4 + u)) = 0
x((-4 * 7 + u * 7) + u(-4 + u)) = 0
x((-28 + 7u) + u(-4 + u)) = 0
x(-28 + 7u + (-4 * u + u * u)) = 0
x(-28 + 7u + (-4u + u2)) = 0

Combine like terms: 7u + -4u = 3u
x(-28 + 3u + u2) = 0
(-28 * x + 3u * x + u2 * x) = 0

Reorder the terms:
(3ux + u2x + -28x) = 0
(3ux + u2x + -28x) = 0

Solving
3ux + u2x + -28x = 0

Solving for variable 'u'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(3u + u2 + -28) = 0

Factor a trinomial.
x((u + -4)(u + 7)) = 0

Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

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

Add '-1x' to each side of the equation.
x + -1x = 0 + -1x
Remove the zero:
0 = -1x

Simplifying
0 = -1x

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Subproblem 2
Set the factor '(u + -4)' equal to zero and attempt to solve:

Simplifying
u + -4 = 0

Reorder the terms:
-4 + u = 0

Solving
-4 + u = 0

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

Add '4' to each side of the equation.
-4 + 4 + u = 0 + 4

Combine like terms: -4 + 4 = 0
0 + u = 0 + 4
u = 0 + 4

Combine like terms: 0 + 4 = 4
u = 4

Simplifying
u = 4
Subproblem 3
Set the factor '(u + 7)' equal to zero and attempt to solve:

Simplifying
u + 7 = 0

Reorder the terms:
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
Solution
u = {4, -7}