(7U-4)(3U+6)=

Solution for (7U-4)(3U+6)= equation:

Simplifying
(7U + -4)(3U + 6) = 0

Reorder the terms:
(-4 + 7U)(3U + 6) = 0

Reorder the terms:
(-4 + 7U)(6 + 3U) = 0

Multiply (-4 + 7U) * (6 + 3U)
(-4(6 + 3U) + 7U * (6 + 3U)) = 0
((6 * -4 + 3U * -4) + 7U * (6 + 3U)) = 0
((-24 + -12U) + 7U * (6 + 3U)) = 0
(-24 + -12U + (6 * 7U + 3U * 7U)) = 0
(-24 + -12U + (42U + 21U2)) = 0

Combine like terms: -12U + 42U = 30U
(-24 + 30U + 21U2) = 0

Solving
-24 + 30U + 21U2 = 0

Solving for variable 'U'.

Factor out the Greatest Common Factor (GCF), '3'.
3(-8 + 10U + 7U2) = 0

Factor a trinomial.
3((-2 + -1U)(4 + -7U)) = 0

Ignore the factor 3.
Subproblem 1
Set the factor '(-2 + -1U)' equal to zero and attempt to solve:

Simplifying
-2 + -1U = 0

Solving
-2 + -1U = 0

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

Add '2' to each side of the equation.
-2 + 2 + -1U = 0 + 2

Combine like terms: -2 + 2 = 0
0 + -1U = 0 + 2
-1U = 0 + 2

Combine like terms: 0 + 2 = 2
-1U = 2

Divide each side by '-1'.
U = -2

Simplifying
U = -2
Subproblem 2
Set the factor '(4 + -7U)' equal to zero and attempt to solve:

Simplifying
4 + -7U = 0

Solving
4 + -7U = 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 + -7U = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -7U = 0 + -4
-7U = 0 + -4

Combine like terms: 0 + -4 = -4
-7U = -4

Divide each side by '-7'.
U = 0.5714285714

Simplifying
U = 0.5714285714
Solution
U = {-2, 0.5714285714}