7(v-3)(v-8)=0

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Solution for 7(v-3)(v-8)=0 equation: 


Simplifying
7(v + -3)(v + -8) = 0

Reorder the terms:
7(-3 + v)(v + -8) = 0

Reorder the terms:
7(-3 + v)(-8 + v) = 0

Multiply (-3 + v) * (-8 + v)
7(-3(-8 + v) + v(-8 + v)) = 0
7((-8 * -3 + v * -3) + v(-8 + v)) = 0
7((24 + -3v) + v(-8 + v)) = 0
7(24 + -3v + (-8 * v + v * v)) = 0
7(24 + -3v + (-8v + v2)) = 0

Combine like terms: -3v + -8v = -11v
7(24 + -11v + v2) = 0
(24 * 7 + -11v * 7 + v2 * 7) = 0
(168 + -77v + 7v2) = 0

Solving
168 + -77v + 7v2 = 0

Solving for variable 'v'.

Factor out the Greatest Common Factor (GCF), '7'.
7(24 + -11v + v2) = 0

Factor a trinomial.
7((3 + -1v)(8 + -1v)) = 0

Ignore the factor 7.

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 '(8 + -1v)' equal to zero and attempt to solve:

Simplifying
8 + -1v = 0

Solving
8 + -1v = 0

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

Add '-8' to each side of the equation.
8 + -8 + -1v = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -1v = 0 + -8
-1v = 0 + -8

Combine like terms: 0 + -8 = -8
-1v = -8

Divide each side by '-1'.
v = 8

Simplifying
v = 8
Solution
v = {3, 8}

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