(2v-18)(18v-2)=0

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Solution for (2v-18)(18v-2)=0 equation: 


Simplifying
(2v + -18)(18v + -2) = 0

Reorder the terms:
(-18 + 2v)(18v + -2) = 0

Reorder the terms:
(-18 + 2v)(-2 + 18v) = 0

Multiply (-18 + 2v) * (-2 + 18v)
(-18(-2 + 18v) + 2v * (-2 + 18v)) = 0
((-2 * -18 + 18v * -18) + 2v * (-2 + 18v)) = 0
((36 + -324v) + 2v * (-2 + 18v)) = 0
(36 + -324v + (-2 * 2v + 18v * 2v)) = 0
(36 + -324v + (-4v + 36v2)) = 0

Combine like terms: -324v + -4v = -328v
(36 + -328v + 36v2) = 0

Solving
36 + -328v + 36v2 = 0

Solving for variable 'v'.

Factor out the Greatest Common Factor (GCF), '4'.
4(9 + -82v + 9v2) = 0

Factor a trinomial.
4((1 + -9v)(9 + -1v)) = 0

Ignore the factor 4.

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

Simplifying
1 + -9v = 0

Solving
1 + -9v = 0

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

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

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

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

Divide each side by '-9'.
v = 0.1111111111

Simplifying
v = 0.1111111111

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 = {0.1111111111, 9}

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