(2v-9)(7+v)=0

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Solution for (2v-9)(7+v)=0 equation: 


Simplifying
(2v + -9)(7 + v) = 0

Reorder the terms:
(-9 + 2v)(7 + v) = 0

Multiply (-9 + 2v) * (7 + v)
(-9(7 + v) + 2v * (7 + v)) = 0
((7 * -9 + v * -9) + 2v * (7 + v)) = 0
((-63 + -9v) + 2v * (7 + v)) = 0
(-63 + -9v + (7 * 2v + v * 2v)) = 0
(-63 + -9v + (14v + 2v2)) = 0

Combine like terms: -9v + 14v = 5v
(-63 + 5v + 2v2) = 0

Solving
-63 + 5v + 2v2 = 0

Solving for variable 'v'.

Factor a trinomial.
(-7 + -1v)(9 + -2v) = 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 + -2v)' equal to zero and attempt to solve:

Simplifying
9 + -2v = 0

Solving
9 + -2v = 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 + -2v = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -2v = 0 + -9
-2v = 0 + -9

Combine like terms: 0 + -9 = -9
-2v = -9

Divide each side by '-2'.
v = 4.5

Simplifying
v = 4.5
Solution
v = {-7, 4.5}

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