(13v+7)(6v-18)=0

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Solution for (13v+7)(6v-18)=0 equation: 


Simplifying
(13v + 7)(6v + -18) = 0

Reorder the terms:
(7 + 13v)(6v + -18) = 0

Reorder the terms:
(7 + 13v)(-18 + 6v) = 0

Multiply (7 + 13v) * (-18 + 6v)
(7(-18 + 6v) + 13v * (-18 + 6v)) = 0
((-18 * 7 + 6v * 7) + 13v * (-18 + 6v)) = 0
((-126 + 42v) + 13v * (-18 + 6v)) = 0
(-126 + 42v + (-18 * 13v + 6v * 13v)) = 0
(-126 + 42v + (-234v + 78v2)) = 0

Combine like terms: 42v + -234v = -192v
(-126 + -192v + 78v2) = 0

Solving
-126 + -192v + 78v2 = 0

Solving for variable 'v'.

Factor out the Greatest Common Factor (GCF), '6'.
6(-21 + -32v + 13v2) = 0

Factor a trinomial.
6((-7 + -13v)(3 + -1v)) = 0

Ignore the factor 6.

Subproblem 1
Set the factor '(-7 + -13v)' equal to zero and attempt to solve:

Simplifying
-7 + -13v = 0

Solving
-7 + -13v = 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 + -13v = 0 + 7

Combine like terms: -7 + 7 = 0
0 + -13v = 0 + 7
-13v = 0 + 7

Combine like terms: 0 + 7 = 7
-13v = 7

Divide each side by '-13'.
v = -0.5384615385

Simplifying
v = -0.5384615385

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 = {-0.5384615385, 3}

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