(11v+7)(4v-12)=0

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Solution for (11v+7)(4v-12)=0 equation: 


Simplifying
(11v + 7)(4v + -12) = 0

Reorder the terms:
(7 + 11v)(4v + -12) = 0

Reorder the terms:
(7 + 11v)(-12 + 4v) = 0

Multiply (7 + 11v) * (-12 + 4v)
(7(-12 + 4v) + 11v * (-12 + 4v)) = 0
((-12 * 7 + 4v * 7) + 11v * (-12 + 4v)) = 0
((-84 + 28v) + 11v * (-12 + 4v)) = 0
(-84 + 28v + (-12 * 11v + 4v * 11v)) = 0
(-84 + 28v + (-132v + 44v2)) = 0

Combine like terms: 28v + -132v = -104v
(-84 + -104v + 44v2) = 0

Solving
-84 + -104v + 44v2 = 0

Solving for variable 'v'.

Factor out the Greatest Common Factor (GCF), '4'.
4(-21 + -26v + 11v2) = 0

Factor a trinomial.
4((-7 + -11v)(3 + -1v)) = 0

Ignore the factor 4.

Subproblem 1
Set the factor '(-7 + -11v)' equal to zero and attempt to solve:

Simplifying
-7 + -11v = 0

Solving
-7 + -11v = 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 + -11v = 0 + 7

Combine like terms: -7 + 7 = 0
0 + -11v = 0 + 7
-11v = 0 + 7

Combine like terms: 0 + 7 = 7
-11v = 7

Divide each side by '-11'.
v = -0.6363636364

Simplifying
v = -0.6363636364

Subproblem 2
Set the factor '(3 + -1v)' equal to zero and attempt to solve:

Simplifying
3 + -1v = 0

Solving
3 + -1v = 0

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

Add '-3' to each side of the equation.
3 + -3 + -1v = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1v = 0 + -3
-1v = 0 + -3

Combine like terms: 0 + -3 = -3
-1v = -3

Divide each side by '-1'.
v = 3

Simplifying
v = 3
Solution
v = {-0.6363636364, 3}

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