4u^2-14u*12=0

Solution for 4u^2-14u*12=0 equation:

Simplifying
4u2 + -14u * 12 = 0

Reorder the terms for easier multiplication:
4u2 + -14 * 12u = 0

Multiply -14 * 12
4u2 + -168u = 0

Reorder the terms:
-168u + 4u2 = 0

Solving
-168u + 4u2 = 0

Solving for variable 'u'.

Factor out the Greatest Common Factor (GCF), '4u'.
4u(-42 + 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 '(-42 + u)' equal to zero and attempt to solve:

Simplifying
-42 + u = 0

Solving
-42 + u = 0

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

Add '42' to each side of the equation.
-42 + 42 + u = 0 + 42

Combine like terms: -42 + 42 = 0
0 + u = 0 + 42
u = 0 + 42

Combine like terms: 0 + 42 = 42
u = 42

Simplifying
u = 42
Solution
u = {0, 42}