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

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


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

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

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

Multiply (-4 + 7v) * (4 + 3v)
(-4(4 + 3v) + 7v * (4 + 3v)) = 0
((4 * -4 + 3v * -4) + 7v * (4 + 3v)) = 0
((-16 + -12v) + 7v * (4 + 3v)) = 0
(-16 + -12v + (4 * 7v + 3v * 7v)) = 0
(-16 + -12v + (28v + 21v2)) = 0

Combine like terms: -12v + 28v = 16v
(-16 + 16v + 21v2) = 0

Solving
-16 + 16v + 21v2 = 0

Solving for variable 'v'.

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


Subproblem 1
Set the factor '(-4 + -3v)' equal to zero and attempt to solve:

Simplifying
-4 + -3v = 0

Solving
-4 + -3v = 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 + -3v = 0 + 4

Combine like terms: -4 + 4 = 0
0 + -3v = 0 + 4
-3v = 0 + 4

Combine like terms: 0 + 4 = 4
-3v = 4

Divide each side by '-3'.
v = -1.333333333

Simplifying
v = -1.333333333

Subproblem 2
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
Solution
v = {-1.333333333, 0.5714285714}

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