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

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


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

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

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

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

Combine like terms: 21v + 24v = 45v
(-24 + 45v + -21v2) = 0

Solving
-24 + 45v + -21v2 = 0

Solving for variable 'v'.

Factor out the Greatest Common Factor (GCF), '3'.
3(-8 + 15v + -7v2) = 0

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

Ignore the factor 3.

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 + -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
Solution
v = {1.142857143, 1}

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