(5v-7)(4-v)=0

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Solution for (5v-7)(4-v)=0 equation: 


Simplifying
(5v + -7)(4 + -1v) = 0

Reorder the terms:
(-7 + 5v)(4 + -1v) = 0

Multiply (-7 + 5v) * (4 + -1v)
(-7(4 + -1v) + 5v * (4 + -1v)) = 0
((4 * -7 + -1v * -7) + 5v * (4 + -1v)) = 0
((-28 + 7v) + 5v * (4 + -1v)) = 0
(-28 + 7v + (4 * 5v + -1v * 5v)) = 0
(-28 + 7v + (20v + -5v2)) = 0

Combine like terms: 7v + 20v = 27v
(-28 + 27v + -5v2) = 0

Solving
-28 + 27v + -5v2 = 0

Solving for variable 'v'.

Factor a trinomial.
(-4 + v)(7 + -5v) = 0


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

Simplifying
-4 + v = 0

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

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

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

Simplifying
v = 4

Subproblem 2
Set the factor '(7 + -5v)' equal to zero and attempt to solve:

Simplifying
7 + -5v = 0

Solving
7 + -5v = 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 + -5v = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -5v = 0 + -7
-5v = 0 + -7

Combine like terms: 0 + -7 = -7
-5v = -7

Divide each side by '-5'.
v = 1.4

Simplifying
v = 1.4
Solution
v = {4, 1.4}

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