2(v+5)(-v+2)=0

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Solution for 2(v+5)(-v+2)=0 equation: 


Simplifying
2(v + 5)(-1v + 2) = 0

Reorder the terms:
2(5 + v)(-1v + 2) = 0

Reorder the terms:
2(5 + v)(2 + -1v) = 0

Multiply (5 + v) * (2 + -1v)
2(5(2 + -1v) + v(2 + -1v)) = 0
2((2 * 5 + -1v * 5) + v(2 + -1v)) = 0
2((10 + -5v) + v(2 + -1v)) = 0
2(10 + -5v + (2 * v + -1v * v)) = 0
2(10 + -5v + (2v + -1v2)) = 0

Combine like terms: -5v + 2v = -3v
2(10 + -3v + -1v2) = 0
(10 * 2 + -3v * 2 + -1v2 * 2) = 0
(20 + -6v + -2v2) = 0

Solving
20 + -6v + -2v2 = 0

Solving for variable 'v'.

Factor out the Greatest Common Factor (GCF), '2'.
2(10 + -3v + -1v2) = 0

Factor a trinomial.
2((2 + -1v)(5 + v)) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(2 + -1v)' equal to zero and attempt to solve:

Simplifying
2 + -1v = 0

Solving
2 + -1v = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1v = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1v = 0 + -2
-1v = 0 + -2

Combine like terms: 0 + -2 = -2
-1v = -2

Divide each side by '-1'.
v = 2

Simplifying
v = 2

Subproblem 2
Set the factor '(5 + v)' equal to zero and attempt to solve:

Simplifying
5 + v = 0

Solving
5 + v = 0

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

Add '-5' to each side of the equation.
5 + -5 + v = 0 + -5

Combine like terms: 5 + -5 = 0
0 + v = 0 + -5
v = 0 + -5

Combine like terms: 0 + -5 = -5
v = -5

Simplifying
v = -5
Solution
v = {2, -5}

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