-5(v-3)(-v+7)=0

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Solution for -5(v-3)(-v+7)=0 equation: 


Simplifying
-5(v + -3)(-1v + 7) = 0

Reorder the terms:
-5(-3 + v)(-1v + 7) = 0

Reorder the terms:
-5(-3 + v)(7 + -1v) = 0

Multiply (-3 + v) * (7 + -1v)
-5(-3(7 + -1v) + v(7 + -1v)) = 0
-5((7 * -3 + -1v * -3) + v(7 + -1v)) = 0
-5((-21 + 3v) + v(7 + -1v)) = 0
-5(-21 + 3v + (7 * v + -1v * v)) = 0
-5(-21 + 3v + (7v + -1v2)) = 0

Combine like terms: 3v + 7v = 10v
-5(-21 + 10v + -1v2) = 0
(-21 * -5 + 10v * -5 + -1v2 * -5) = 0
(105 + -50v + 5v2) = 0

Solving
105 + -50v + 5v2 = 0

Solving for variable 'v'.

Factor out the Greatest Common Factor (GCF), '5'.
5(21 + -10v + v2) = 0

Factor a trinomial.
5((3 + -1v)(7 + -1v)) = 0

Ignore the factor 5.

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

Simplifying
3 + -1v = 0

Solving
3 + -1v = 0

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

Add '-3' to each side of the equation.
3 + -3 + -1v = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1v = 0 + -3
-1v = 0 + -3

Combine like terms: 0 + -3 = -3
-1v = -3

Divide each side by '-1'.
v = 3

Simplifying
v = 3

Subproblem 2
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

Divide each side by '-1'.
v = 7

Simplifying
v = 7
Solution
v = {3, 7}

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