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

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


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

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

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

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

Combine like terms: -7v + 10v = 3v
(-14 + 3v + 5v2) = 0

Solving
-14 + 3v + 5v2 = 0

Solving for variable 'v'.

Factor a trinomial.
(-2 + -1v)(7 + -5v) = 0


Subproblem 1
Set the factor '(-2 + -1v)' equal to zero and attempt to solve:

Simplifying
-2 + -1v = 0

Solving
-2 + -1v = 0

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

Add '2' to each side of the equation.
-2 + 2 + -1v = 0 + 2

Combine like terms: -2 + 2 = 0
0 + -1v = 0 + 2
-1v = 0 + 2

Combine like terms: 0 + 2 = 2
-1v = 2

Divide each side by '-1'.
v = -2

Simplifying
v = -2

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 = {-2, 1.4}

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