(v+5)(v-18)=0

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Solution for (v+5)(v-18)=0 equation: 


Simplifying
(v + 5)(v + -18) = 0

Reorder the terms:
(5 + v)(v + -18) = 0

Reorder the terms:
(5 + v)(-18 + v) = 0

Multiply (5 + v) * (-18 + v)
(5(-18 + v) + v(-18 + v)) = 0
((-18 * 5 + v * 5) + v(-18 + v)) = 0
((-90 + 5v) + v(-18 + v)) = 0
(-90 + 5v + (-18 * v + v * v)) = 0
(-90 + 5v + (-18v + v2)) = 0

Combine like terms: 5v + -18v = -13v
(-90 + -13v + v2) = 0

Solving
-90 + -13v + v2 = 0

Solving for variable 'v'.

Factor a trinomial.
(-5 + -1v)(18 + -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 '(18 + -1v)' equal to zero and attempt to solve:

Simplifying
18 + -1v = 0

Solving
18 + -1v = 0

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

Add '-18' to each side of the equation.
18 + -18 + -1v = 0 + -18

Combine like terms: 18 + -18 = 0
0 + -1v = 0 + -18
-1v = 0 + -18

Combine like terms: 0 + -18 = -18
-1v = -18

Divide each side by '-1'.
v = 18

Simplifying
v = 18
Solution
v = {-5, 18}

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