(5v-3)(7-v)=0

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Solution for (5v-3)(7-v)=0 equation: 


Simplifying
(5v + -3)(7 + -1v) = 0

Reorder the terms:
(-3 + 5v)(7 + -1v) = 0

Multiply (-3 + 5v) * (7 + -1v)
(-3(7 + -1v) + 5v * (7 + -1v)) = 0
((7 * -3 + -1v * -3) + 5v * (7 + -1v)) = 0
((-21 + 3v) + 5v * (7 + -1v)) = 0
(-21 + 3v + (7 * 5v + -1v * 5v)) = 0
(-21 + 3v + (35v + -5v2)) = 0

Combine like terms: 3v + 35v = 38v
(-21 + 38v + -5v2) = 0

Solving
-21 + 38v + -5v2 = 0

Solving for variable 'v'.

Factor a trinomial.
(-7 + v)(3 + -5v) = 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 '(3 + -5v)' equal to zero and attempt to solve:

Simplifying
3 + -5v = 0

Solving
3 + -5v = 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 + -5v = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -5v = 0 + -3
-5v = 0 + -3

Combine like terms: 0 + -3 = -3
-5v = -3

Divide each side by '-5'.
v = 0.6

Simplifying
v = 0.6
Solution
v = {7, 0.6}

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