4V(v-7)(v-4)=0

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Solution for 4V(v-7)(v-4)=0 equation: 


Simplifying
4V(v + -7)(v + -4) = 0

Reorder the terms:
4V(-7 + v)(v + -4) = 0

Reorder the terms:
4V(-7 + v)(-4 + v) = 0

Multiply (-7 + v) * (-4 + v)
4V(-7(-4 + v) + v(-4 + v)) = 0
4V((-4 * -7 + v * -7) + v(-4 + v)) = 0
4V((28 + -7v) + v(-4 + v)) = 0
4V(28 + -7v + (-4 * v + v * v)) = 0
4V(28 + -7v + (-4v + v2)) = 0

Combine like terms: -7v + -4v = -11v
4V(28 + -11v + v2) = 0
(28 * 4V + -11v * 4V + v2 * 4V) = 0
(112V + -44vV + 4v2V) = 0

Solving
112V + -44vV + 4v2V = 0

Solving for variable 'V'.

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

Factor out the Greatest Common Factor (GCF), '4V'.
4V(28 + -11v + v2) = 0

Factor a trinomial.
4V((4 + -1v)(7 + -1v)) = 0

Ignore the factor 4.

Subproblem 1
Set the factor 'V' equal to zero and attempt to solve:

Simplifying
V = 0

Solving
V = 0

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

Simplifying
V = 0

Subproblem 2
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

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

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

Simplifying
0 = -4 + v

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

Subproblem 3
Set the factor '(7 + -1v)' equal to zero and attempt to solve:

Simplifying
7 + -1v = 0

Solving
7 + -1v = 0

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

Add '-7' to each side of the equation.
7 + -7 + -1v = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -1v = 0 + -7
-1v = 0 + -7

Combine like terms: 0 + -7 = -7
-1v = -7

Add 'v' to each side of the equation.
-1v + v = -7 + v

Combine like terms: -1v + v = 0
0 = -7 + v

Simplifying
0 = -7 + v

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
V = {0}

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