(11v+5)(6v-7)=0

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Solution for (11v+5)(6v-7)=0 equation: 


Simplifying
(11v + 5)(6v + -7) = 0

Reorder the terms:
(5 + 11v)(6v + -7) = 0

Reorder the terms:
(5 + 11v)(-7 + 6v) = 0

Multiply (5 + 11v) * (-7 + 6v)
(5(-7 + 6v) + 11v * (-7 + 6v)) = 0
((-7 * 5 + 6v * 5) + 11v * (-7 + 6v)) = 0
((-35 + 30v) + 11v * (-7 + 6v)) = 0
(-35 + 30v + (-7 * 11v + 6v * 11v)) = 0
(-35 + 30v + (-77v + 66v2)) = 0

Combine like terms: 30v + -77v = -47v
(-35 + -47v + 66v2) = 0

Solving
-35 + -47v + 66v2 = 0

Solving for variable 'v'.

Factor a trinomial.
(-5 + -11v)(7 + -6v) = 0


Subproblem 1
Set the factor '(-5 + -11v)' equal to zero and attempt to solve:

Simplifying
-5 + -11v = 0

Solving
-5 + -11v = 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 + -11v = 0 + 5

Combine like terms: -5 + 5 = 0
0 + -11v = 0 + 5
-11v = 0 + 5

Combine like terms: 0 + 5 = 5
-11v = 5

Divide each side by '-11'.
v = -0.4545454545

Simplifying
v = -0.4545454545

Subproblem 2
Set the factor '(7 + -6v)' equal to zero and attempt to solve:

Simplifying
7 + -6v = 0

Solving
7 + -6v = 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 + -6v = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -6v = 0 + -7
-6v = 0 + -7

Combine like terms: 0 + -7 = -7
-6v = -7

Divide each side by '-6'.
v = 1.166666667

Simplifying
v = 1.166666667
Solution
v = {-0.4545454545, 1.166666667}

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