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

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


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

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

Multiply (-5 + 4v) * (7 + -1v)
(-5(7 + -1v) + 4v * (7 + -1v)) = 0
((7 * -5 + -1v * -5) + 4v * (7 + -1v)) = 0
((-35 + 5v) + 4v * (7 + -1v)) = 0
(-35 + 5v + (7 * 4v + -1v * 4v)) = 0
(-35 + 5v + (28v + -4v2)) = 0

Combine like terms: 5v + 28v = 33v
(-35 + 33v + -4v2) = 0

Solving
-35 + 33v + -4v2 = 0

Solving for variable 'v'.

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


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

Simplifying
-7 + v = 0

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

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

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

Simplifying
v = 7

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

Simplifying
5 + -4v = 0

Solving
5 + -4v = 0

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

Add '-5' to each side of the equation.
5 + -5 + -4v = 0 + -5

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

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

Divide each side by '-4'.
v = 1.25

Simplifying
v = 1.25
Solution
v = {7, 1.25}

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