4u(u-7)=0

Solution for 4u(u-7)=0 equation:

Simplifying
4u(u + -7) = 0

Reorder the terms:
4u(-7 + u) = 0
(-7 * 4u + u * 4u) = 0
(-28u + 4u2) = 0

Solving
-28u + 4u2 = 0

Solving for variable 'u'.

Factor out the Greatest Common Factor (GCF), '4u'.
4u(-7 + u) = 0

Ignore the factor 4.
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
Solution
u = {0, 7}