(4v-24)(24v-4)=0

Solution for (4v-24)(24v-4)=0 equation:

Simplifying
(4v + -24)(24v + -4) = 0

Reorder the terms:
(-24 + 4v)(24v + -4) = 0

Reorder the terms:
(-24 + 4v)(-4 + 24v) = 0

Multiply (-24 + 4v) * (-4 + 24v)
(-24(-4 + 24v) + 4v * (-4 + 24v)) = 0
((-4 * -24 + 24v * -24) + 4v * (-4 + 24v)) = 0
((96 + -576v) + 4v * (-4 + 24v)) = 0
(96 + -576v + (-4 * 4v + 24v * 4v)) = 0
(96 + -576v + (-16v + 96v2)) = 0

Combine like terms: -576v + -16v = -592v
(96 + -592v + 96v2) = 0

Solving
96 + -592v + 96v2 = 0

Solving for variable 'v'.

Factor out the Greatest Common Factor (GCF), '16'.
16(6 + -37v + 6v2) = 0

Factor a trinomial.
16((1 + -6v)(6 + -1v)) = 0

Ignore the factor 16.
Subproblem 1
Set the factor '(1 + -6v)' equal to zero and attempt to solve:

Simplifying
1 + -6v = 0

Solving
1 + -6v = 0

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

Add '-1' to each side of the equation.
1 + -1 + -6v = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -6v = 0 + -1
-6v = 0 + -1

Combine like terms: 0 + -1 = -1
-6v = -1

Divide each side by '-6'.
v = 0.1666666667

Simplifying
v = 0.1666666667
Subproblem 2
Set the factor '(6 + -1v)' equal to zero and attempt to solve:

Simplifying
6 + -1v = 0

Solving
6 + -1v = 0

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

Add '-6' to each side of the equation.
6 + -6 + -1v = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1v = 0 + -6
-1v = 0 + -6

Combine like terms: 0 + -6 = -6
-1v = -6

Divide each side by '-1'.
v = 6

Simplifying
v = 6
Solution
v = {0.1666666667, 6}