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

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


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

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

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

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

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

Solving
-10 + -3v + v2 = 0

Solving for variable 'v'.

Factor a trinomial.
(-2 + -1v)(5 + -1v) = 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 '(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
Solution
v = {-2, 5}

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