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

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


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

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

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

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

Combine like terms: 5v + -2v = 3v
(-10 + 3v + v2) = 0

Solving
-10 + 3v + v2 = 0

Solving for variable 'v'.

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


Subproblem 1
Set the factor '(-5 + -1v)' equal to zero and attempt to solve:

Simplifying
-5 + -1v = 0

Solving
-5 + -1v = 0

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

Add '5' to each side of the equation.
-5 + 5 + -1v = 0 + 5

Combine like terms: -5 + 5 = 0
0 + -1v = 0 + 5
-1v = 0 + 5

Combine like terms: 0 + 5 = 5
-1v = 5

Divide each side by '-1'.
v = -5

Simplifying
v = -5

Subproblem 2
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
Solution
v = {-5, 2}

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