(4v+9)(7-v)=0

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Solution for (4v+9)(7-v)=0 equation: 


Simplifying
(4v + 9)(7 + -1v) = 0

Reorder the terms:
(9 + 4v)(7 + -1v) = 0

Multiply (9 + 4v) * (7 + -1v)
(9(7 + -1v) + 4v * (7 + -1v)) = 0
((7 * 9 + -1v * 9) + 4v * (7 + -1v)) = 0
((63 + -9v) + 4v * (7 + -1v)) = 0
(63 + -9v + (7 * 4v + -1v * 4v)) = 0
(63 + -9v + (28v + -4v2)) = 0

Combine like terms: -9v + 28v = 19v
(63 + 19v + -4v2) = 0

Solving
63 + 19v + -4v2 = 0

Solving for variable 'v'.

Factor a trinomial.
(7 + -1v)(9 + 4v) = 0


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

Simplifying
7 + -1v = 0

Solving
7 + -1v = 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 + -1v = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -1v = 0 + -7
-1v = 0 + -7

Combine like terms: 0 + -7 = -7
-1v = -7

Divide each side by '-1'.
v = 7

Simplifying
v = 7

Subproblem 2
Set the factor '(9 + 4v)' equal to zero and attempt to solve:

Simplifying
9 + 4v = 0

Solving
9 + 4v = 0

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

Add '-9' to each side of the equation.
9 + -9 + 4v = 0 + -9

Combine like terms: 9 + -9 = 0
0 + 4v = 0 + -9
4v = 0 + -9

Combine like terms: 0 + -9 = -9
4v = -9

Divide each side by '4'.
v = -2.25

Simplifying
v = -2.25
Solution
v = {7, -2.25}

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