(5v-7)*(2v+9)=0

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Solution for (5v-7)*(2v+9)=0 equation: 


Simplifying
(5v + -7)(2v + 9) = 0

Reorder the terms:
(-7 + 5v)(2v + 9) = 0

Reorder the terms:
(-7 + 5v)(9 + 2v) = 0

Multiply (-7 + 5v) * (9 + 2v)
(-7(9 + 2v) + 5v * (9 + 2v)) = 0
((9 * -7 + 2v * -7) + 5v * (9 + 2v)) = 0
((-63 + -14v) + 5v * (9 + 2v)) = 0
(-63 + -14v + (9 * 5v + 2v * 5v)) = 0
(-63 + -14v + (45v + 10v2)) = 0

Combine like terms: -14v + 45v = 31v
(-63 + 31v + 10v2) = 0

Solving
-63 + 31v + 10v2 = 0

Solving for variable 'v'.

Factor a trinomial.
(-9 + -2v)(7 + -5v) = 0


Subproblem 1
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

Subproblem 2
Set the factor '(7 + -5v)' equal to zero and attempt to solve:

Simplifying
7 + -5v = 0

Solving
7 + -5v = 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 + -5v = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -5v = 0 + -7
-5v = 0 + -7

Combine like terms: 0 + -7 = -7
-5v = -7

Divide each side by '-5'.
v = 1.4

Simplifying
v = 1.4
Solution
v = {-4.5, 1.4}

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