(6v+3)(8v-7)=

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Solution for (6v+3)(8v-7)= equation: 


Simplifying
(6v + 3)(8v + -7) = 0

Reorder the terms:
(3 + 6v)(8v + -7) = 0

Reorder the terms:
(3 + 6v)(-7 + 8v) = 0

Multiply (3 + 6v) * (-7 + 8v)
(3(-7 + 8v) + 6v * (-7 + 8v)) = 0
((-7 * 3 + 8v * 3) + 6v * (-7 + 8v)) = 0
((-21 + 24v) + 6v * (-7 + 8v)) = 0
(-21 + 24v + (-7 * 6v + 8v * 6v)) = 0
(-21 + 24v + (-42v + 48v2)) = 0

Combine like terms: 24v + -42v = -18v
(-21 + -18v + 48v2) = 0

Solving
-21 + -18v + 48v2 = 0

Solving for variable 'v'.

Factor out the Greatest Common Factor (GCF), '3'.
3(-7 + -6v + 16v2) = 0

Factor a trinomial.
3((-1 + -2v)(7 + -8v)) = 0

Ignore the factor 3.

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

Simplifying
-1 + -2v = 0

Solving
-1 + -2v = 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 + -2v = 0 + 1

Combine like terms: -1 + 1 = 0
0 + -2v = 0 + 1
-2v = 0 + 1

Combine like terms: 0 + 1 = 1
-2v = 1

Divide each side by '-2'.
v = -0.5

Simplifying
v = -0.5

Subproblem 2
Set the factor '(7 + -8v)' equal to zero and attempt to solve:

Simplifying
7 + -8v = 0

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

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

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

Divide each side by '-8'.
v = 0.875

Simplifying
v = 0.875
Solution
v = {-0.5, 0.875}

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