(2v-10)(v-9)=0

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Solution for (2v-10)(v-9)=0 equation: 


Simplifying
(2v + -10)(v + -9) = 0

Reorder the terms:
(-10 + 2v)(v + -9) = 0

Reorder the terms:
(-10 + 2v)(-9 + v) = 0

Multiply (-10 + 2v) * (-9 + v)
(-10(-9 + v) + 2v * (-9 + v)) = 0
((-9 * -10 + v * -10) + 2v * (-9 + v)) = 0
((90 + -10v) + 2v * (-9 + v)) = 0
(90 + -10v + (-9 * 2v + v * 2v)) = 0
(90 + -10v + (-18v + 2v2)) = 0

Combine like terms: -10v + -18v = -28v
(90 + -28v + 2v2) = 0

Solving
90 + -28v + 2v2 = 0

Solving for variable 'v'.

Factor out the Greatest Common Factor (GCF), '2'.
2(45 + -14v + v2) = 0

Factor a trinomial.
2((5 + -1v)(9 + -1v)) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(5 + -1v)' equal to zero and attempt to solve:

Simplifying
5 + -1v = 0

Solving
5 + -1v = 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 + -1v = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1v = 0 + -5
-1v = 0 + -5

Combine like terms: 0 + -5 = -5
-1v = -5

Divide each side by '-1'.
v = 5

Simplifying
v = 5

Subproblem 2
Set the factor '(9 + -1v)' equal to zero and attempt to solve:

Simplifying
9 + -1v = 0

Solving
9 + -1v = 0

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

Add '-9' to each side of the equation.
9 + -9 + -1v = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -1v = 0 + -9
-1v = 0 + -9

Combine like terms: 0 + -9 = -9
-1v = -9

Divide each side by '-1'.
v = 9

Simplifying
v = 9
Solution
v = {5, 9}

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