6(7v-5)(v-2)=0

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Solution for 6(7v-5)(v-2)=0 equation: 


Simplifying
6(7v + -5)(v + -2) = 0

Reorder the terms:
6(-5 + 7v)(v + -2) = 0

Reorder the terms:
6(-5 + 7v)(-2 + v) = 0

Multiply (-5 + 7v) * (-2 + v)
6(-5(-2 + v) + 7v * (-2 + v)) = 0
6((-2 * -5 + v * -5) + 7v * (-2 + v)) = 0
6((10 + -5v) + 7v * (-2 + v)) = 0
6(10 + -5v + (-2 * 7v + v * 7v)) = 0
6(10 + -5v + (-14v + 7v2)) = 0

Combine like terms: -5v + -14v = -19v
6(10 + -19v + 7v2) = 0
(10 * 6 + -19v * 6 + 7v2 * 6) = 0
(60 + -114v + 42v2) = 0

Solving
60 + -114v + 42v2 = 0

Solving for variable 'v'.

Factor out the Greatest Common Factor (GCF), '6'.
6(10 + -19v + 7v2) = 0

Factor a trinomial.
6((5 + -7v)(2 + -1v)) = 0

Ignore the factor 6.

Subproblem 1
Set the factor '(5 + -7v)' equal to zero and attempt to solve:

Simplifying
5 + -7v = 0

Solving
5 + -7v = 0

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

Add '-5' to each side of the equation.
5 + -5 + -7v = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -7v = 0 + -5
-7v = 0 + -5

Combine like terms: 0 + -5 = -5
-7v = -5

Divide each side by '-7'.
v = 0.7142857143

Simplifying
v = 0.7142857143

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

Simplifying
2 + -1v = 0

Solving
2 + -1v = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1v = 0 + -2

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

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

Divide each side by '-1'.
v = 2

Simplifying
v = 2
Solution
v = {0.7142857143, 2}

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