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

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


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

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

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

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

Combine like terms: 8v + -3v = 5v
7(-24 + 5v + v2) = 0
(-24 * 7 + 5v * 7 + v2 * 7) = 0
(-168 + 35v + 7v2) = 0

Solving
-168 + 35v + 7v2 = 0

Solving for variable 'v'.

Factor out the Greatest Common Factor (GCF), '7'.
7(-24 + 5v + v2) = 0

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

Ignore the factor 7.

Subproblem 1
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

Subproblem 2
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
Solution
v = {-8, 3}

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