(7v+4)(3v-2)=0

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Solution for (7v+4)(3v-2)=0 equation: 


Simplifying
(7v + 4)(3v + -2) = 0

Reorder the terms:
(4 + 7v)(3v + -2) = 0

Reorder the terms:
(4 + 7v)(-2 + 3v) = 0

Multiply (4 + 7v) * (-2 + 3v)
(4(-2 + 3v) + 7v * (-2 + 3v)) = 0
((-2 * 4 + 3v * 4) + 7v * (-2 + 3v)) = 0
((-8 + 12v) + 7v * (-2 + 3v)) = 0
(-8 + 12v + (-2 * 7v + 3v * 7v)) = 0
(-8 + 12v + (-14v + 21v2)) = 0

Combine like terms: 12v + -14v = -2v
(-8 + -2v + 21v2) = 0

Solving
-8 + -2v + 21v2 = 0

Solving for variable 'v'.

Factor a trinomial.
(-4 + -7v)(2 + -3v) = 0


Subproblem 1
Set the factor '(-4 + -7v)' equal to zero and attempt to solve:

Simplifying
-4 + -7v = 0

Solving
-4 + -7v = 0

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

Add '4' to each side of the equation.
-4 + 4 + -7v = 0 + 4

Combine like terms: -4 + 4 = 0
0 + -7v = 0 + 4
-7v = 0 + 4

Combine like terms: 0 + 4 = 4
-7v = 4

Divide each side by '-7'.
v = -0.5714285714

Simplifying
v = -0.5714285714

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

Simplifying
2 + -3v = 0

Solving
2 + -3v = 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 + -3v = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -3v = 0 + -2
-3v = 0 + -2

Combine like terms: 0 + -2 = -2
-3v = -2

Divide each side by '-3'.
v = 0.6666666667

Simplifying
v = 0.6666666667
Solution
v = {-0.5714285714, 0.6666666667}

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