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 = 7v
2(-10 + 7v + -1v2) = 0
(-10 * 2 + 7v * 2 + -1v2 * 2) = 0
(-20 + 14v + -2v2) = 0

Solving
-20 + 14v + -2v2 = 0

Solving for variable 'v'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-10 + 7v + -1v2) = 0

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

Ignore the factor 2.

Subproblem 1
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

Subproblem 2
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
Solution
v = {5, 2}

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