(v-1)(v-8)=0

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Solution for (v-1)(v-8)=0 equation: 


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

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

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

Multiply (-1 + v) * (-8 + v)
(-1(-8 + v) + v(-8 + v)) = 0
((-8 * -1 + v * -1) + v(-8 + v)) = 0
((8 + -1v) + v(-8 + v)) = 0
(8 + -1v + (-8 * v + v * v)) = 0
(8 + -1v + (-8v + v2)) = 0

Combine like terms: -1v + -8v = -9v
(8 + -9v + v2) = 0

Solving
8 + -9v + v2 = 0

Solving for variable 'v'.

Factor a trinomial.
(1 + -1v)(8 + -1v) = 0


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

Simplifying
1 + -1v = 0

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

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

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

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

Simplifying
v = 1

Subproblem 2
Set the factor '(8 + -1v)' equal to zero and attempt to solve:

Simplifying
8 + -1v = 0

Solving
8 + -1v = 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 + -1v = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -1v = 0 + -8
-1v = 0 + -8

Combine like terms: 0 + -8 = -8
-1v = -8

Divide each side by '-1'.
v = 8

Simplifying
v = 8
Solution
v = {1, 8}

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