(4v+3)(5v-4)=

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Solution for (4v+3)(5v-4)= equation: 


Simplifying
(4v + 3)(5v + -4) = 0

Reorder the terms:
(3 + 4v)(5v + -4) = 0

Reorder the terms:
(3 + 4v)(-4 + 5v) = 0

Multiply (3 + 4v) * (-4 + 5v)
(3(-4 + 5v) + 4v * (-4 + 5v)) = 0
((-4 * 3 + 5v * 3) + 4v * (-4 + 5v)) = 0
((-12 + 15v) + 4v * (-4 + 5v)) = 0
(-12 + 15v + (-4 * 4v + 5v * 4v)) = 0
(-12 + 15v + (-16v + 20v2)) = 0

Combine like terms: 15v + -16v = -1v
(-12 + -1v + 20v2) = 0

Solving
-12 + -1v + 20v2 = 0

Solving for variable 'v'.

Factor a trinomial.
(-3 + -4v)(4 + -5v) = 0


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

Simplifying
-3 + -4v = 0

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

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

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

Divide each side by '-4'.
v = -0.75

Simplifying
v = -0.75

Subproblem 2
Set the factor '(4 + -5v)' equal to zero and attempt to solve:

Simplifying
4 + -5v = 0

Solving
4 + -5v = 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 + -5v = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -5v = 0 + -4
-5v = 0 + -4

Combine like terms: 0 + -4 = -4
-5v = -4

Divide each side by '-5'.
v = 0.8

Simplifying
v = 0.8
Solution
v = {-0.75, 0.8}

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