(5v-2)(7-v)=0

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Solution for (5v-2)(7-v)=0 equation: 


Simplifying
(5v + -2)(7 + -1v) = 0

Reorder the terms:
(-2 + 5v)(7 + -1v) = 0

Multiply (-2 + 5v) * (7 + -1v)
(-2(7 + -1v) + 5v * (7 + -1v)) = 0
((7 * -2 + -1v * -2) + 5v * (7 + -1v)) = 0
((-14 + 2v) + 5v * (7 + -1v)) = 0
(-14 + 2v + (7 * 5v + -1v * 5v)) = 0
(-14 + 2v + (35v + -5v2)) = 0

Combine like terms: 2v + 35v = 37v
(-14 + 37v + -5v2) = 0

Solving
-14 + 37v + -5v2 = 0

Solving for variable 'v'.

Factor a trinomial.
(-7 + v)(2 + -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 '(2 + -5v)' equal to zero and attempt to solve:

Simplifying
2 + -5v = 0

Solving
2 + -5v = 0

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

Add '-2' to each side of the equation.
2 + -2 + -5v = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -5v = 0 + -2
-5v = 0 + -2

Combine like terms: 0 + -2 = -2
-5v = -2

Divide each side by '-5'.
v = 0.4

Simplifying
v = 0.4
Solution
v = {7, 0.4}

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