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

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


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

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

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

Multiply (7 + 9v) * (-7 + 2v)
(7(-7 + 2v) + 9v * (-7 + 2v)) = 0
((-7 * 7 + 2v * 7) + 9v * (-7 + 2v)) = 0
((-49 + 14v) + 9v * (-7 + 2v)) = 0
(-49 + 14v + (-7 * 9v + 2v * 9v)) = 0
(-49 + 14v + (-63v + 18v2)) = 0

Combine like terms: 14v + -63v = -49v
(-49 + -49v + 18v2) = 0

Solving
-49 + -49v + 18v2 = 0

Solving for variable 'v'.

Factor a trinomial.
(-7 + -9v)(7 + -2v) = 0


Subproblem 1
Set the factor '(-7 + -9v)' equal to zero and attempt to solve:

Simplifying
-7 + -9v = 0

Solving
-7 + -9v = 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 + -9v = 0 + 7

Combine like terms: -7 + 7 = 0
0 + -9v = 0 + 7
-9v = 0 + 7

Combine like terms: 0 + 7 = 7
-9v = 7

Divide each side by '-9'.
v = -0.7777777778

Simplifying
v = -0.7777777778

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 = {-0.7777777778, 3.5}

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