(5v-8)(9-v)=0

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Solution for (5v-8)(9-v)=0 equation: 


Simplifying
(5v + -8)(9 + -1v) = 0

Reorder the terms:
(-8 + 5v)(9 + -1v) = 0

Multiply (-8 + 5v) * (9 + -1v)
(-8(9 + -1v) + 5v * (9 + -1v)) = 0
((9 * -8 + -1v * -8) + 5v * (9 + -1v)) = 0
((-72 + 8v) + 5v * (9 + -1v)) = 0
(-72 + 8v + (9 * 5v + -1v * 5v)) = 0
(-72 + 8v + (45v + -5v2)) = 0

Combine like terms: 8v + 45v = 53v
(-72 + 53v + -5v2) = 0

Solving
-72 + 53v + -5v2 = 0

Solving for variable 'v'.

Factor a trinomial.
(-9 + v)(8 + -5v) = 0


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

Simplifying
-9 + v = 0

Solving
-9 + v = 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 + v = 0 + 9

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

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

Simplifying
v = 9

Subproblem 2
Set the factor '(8 + -5v)' equal to zero and attempt to solve:

Simplifying
8 + -5v = 0

Solving
8 + -5v = 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 + -5v = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -5v = 0 + -8
-5v = 0 + -8

Combine like terms: 0 + -8 = -8
-5v = -8

Divide each side by '-5'.
v = 1.6

Simplifying
v = 1.6
Solution
v = {9, 1.6}

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