-4(v-6)(-v+4)=0

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Solution for -4(v-6)(-v+4)=0 equation: 


Simplifying
-4(v + -6)(-1v + 4) = 0

Reorder the terms:
-4(-6 + v)(-1v + 4) = 0

Reorder the terms:
-4(-6 + v)(4 + -1v) = 0

Multiply (-6 + v) * (4 + -1v)
-4(-6(4 + -1v) + v(4 + -1v)) = 0
-4((4 * -6 + -1v * -6) + v(4 + -1v)) = 0
-4((-24 + 6v) + v(4 + -1v)) = 0
-4(-24 + 6v + (4 * v + -1v * v)) = 0
-4(-24 + 6v + (4v + -1v2)) = 0

Combine like terms: 6v + 4v = 10v
-4(-24 + 10v + -1v2) = 0
(-24 * -4 + 10v * -4 + -1v2 * -4) = 0
(96 + -40v + 4v2) = 0

Solving
96 + -40v + 4v2 = 0

Solving for variable 'v'.

Factor out the Greatest Common Factor (GCF), '4'.
4(24 + -10v + v2) = 0

Factor a trinomial.
4((4 + -1v)(6 + -1v)) = 0

Ignore the factor 4.

Subproblem 1
Set the factor '(4 + -1v)' equal to zero and attempt to solve:

Simplifying
4 + -1v = 0

Solving
4 + -1v = 0

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

Add '-4' to each side of the equation.
4 + -4 + -1v = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1v = 0 + -4
-1v = 0 + -4

Combine like terms: 0 + -4 = -4
-1v = -4

Divide each side by '-1'.
v = 4

Simplifying
v = 4

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 = {4, 6}

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