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

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


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

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

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

Multiply (8 + -7v) * (-1 + 8v)
(8(-1 + 8v) + -7v * (-1 + 8v)) = 0
((-1 * 8 + 8v * 8) + -7v * (-1 + 8v)) = 0
((-8 + 64v) + -7v * (-1 + 8v)) = 0
(-8 + 64v + (-1 * -7v + 8v * -7v)) = 0
(-8 + 64v + (7v + -56v2)) = 0

Combine like terms: 64v + 7v = 71v
(-8 + 71v + -56v2) = 0

Solving
-8 + 71v + -56v2 = 0

Solving for variable 'v'.

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


Subproblem 1
Set the factor '(-8 + 7v)' equal to zero and attempt to solve:

Simplifying
-8 + 7v = 0

Solving
-8 + 7v = 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 + 7v = 0 + 8

Combine like terms: -8 + 8 = 0
0 + 7v = 0 + 8
7v = 0 + 8

Combine like terms: 0 + 8 = 8
7v = 8

Divide each side by '7'.
v = 1.142857143

Simplifying
v = 1.142857143

Subproblem 2
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
Solution
v = {1.142857143, 0.125}

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