(8v-1)(v-7)=0

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Solution for (8v-1)(v-7)=0 equation: 


Simplifying
(8v + -1)(v + -7) = 0

Reorder the terms:
(-1 + 8v)(v + -7) = 0

Reorder the terms:
(-1 + 8v)(-7 + v) = 0

Multiply (-1 + 8v) * (-7 + v)
(-1(-7 + v) + 8v * (-7 + v)) = 0
((-7 * -1 + v * -1) + 8v * (-7 + v)) = 0
((7 + -1v) + 8v * (-7 + v)) = 0
(7 + -1v + (-7 * 8v + v * 8v)) = 0
(7 + -1v + (-56v + 8v2)) = 0

Combine like terms: -1v + -56v = -57v
(7 + -57v + 8v2) = 0

Solving
7 + -57v + 8v2 = 0

Solving for variable 'v'.

Factor a trinomial.
(1 + -8v)(7 + -1v) = 0


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

Simplifying
1 + -8v = 0

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

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

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

Divide each side by '-8'.
v = 0.125

Simplifying
v = 0.125

Subproblem 2
Set the factor '(7 + -1v)' equal to zero and attempt to solve:

Simplifying
7 + -1v = 0

Solving
7 + -1v = 0

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

Add '-7' to each side of the equation.
7 + -7 + -1v = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -1v = 0 + -7
-1v = 0 + -7

Combine like terms: 0 + -7 = -7
-1v = -7

Divide each side by '-1'.
v = 7

Simplifying
v = 7
Solution
v = {0.125, 7}

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