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

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


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

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

Multiply (-7 + 4v) * (4 + -1v)
(-7(4 + -1v) + 4v * (4 + -1v)) = 0
((4 * -7 + -1v * -7) + 4v * (4 + -1v)) = 0
((-28 + 7v) + 4v * (4 + -1v)) = 0
(-28 + 7v + (4 * 4v + -1v * 4v)) = 0
(-28 + 7v + (16v + -4v2)) = 0

Combine like terms: 7v + 16v = 23v
(-28 + 23v + -4v2) = 0

Solving
-28 + 23v + -4v2 = 0

Solving for variable 'v'.

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

Simplifying
7 + -4v = 0

Solving
7 + -4v = 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 + -4v = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -4v = 0 + -7
-4v = 0 + -7

Combine like terms: 0 + -7 = -7
-4v = -7

Divide each side by '-4'.
v = 1.75

Simplifying
v = 1.75
Solution
v = {4, 1.75}

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