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

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Solution for (4-v)(2v-7)=0 equation: 


Simplifying
(4 + -1v)(2v + -7) = 0

Reorder the terms:
(4 + -1v)(-7 + 2v) = 0

Multiply (4 + -1v) * (-7 + 2v)
(4(-7 + 2v) + -1v * (-7 + 2v)) = 0
((-7 * 4 + 2v * 4) + -1v * (-7 + 2v)) = 0
((-28 + 8v) + -1v * (-7 + 2v)) = 0
(-28 + 8v + (-7 * -1v + 2v * -1v)) = 0
(-28 + 8v + (7v + -2v2)) = 0

Combine like terms: 8v + 7v = 15v
(-28 + 15v + -2v2) = 0

Solving
-28 + 15v + -2v2 = 0

Solving for variable 'v'.

Factor a trinomial.
(-4 + v)(7 + -2v) = 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 + -2v)' equal to zero and attempt to solve:

Simplifying
7 + -2v = 0

Solving
7 + -2v = 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 + -2v = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -2v = 0 + -7
-2v = 0 + -7

Combine like terms: 0 + -7 = -7
-2v = -7

Divide each side by '-2'.
v = 3.5

Simplifying
v = 3.5
Solution
v = {4, 3.5}

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