5v^2-2v-24=0

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Solution for 5v^2-2v-24=0 equation: 


Simplifying
5v2 + -2v + -24 = 0

Reorder the terms:
-24 + -2v + 5v2 = 0

Solving
-24 + -2v + 5v2 = 0

Solving for variable 'v'.

Factor a trinomial.
(-2 + -1v)(12 + -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 '(12 + -5v)' equal to zero and attempt to solve:

Simplifying
12 + -5v = 0

Solving
12 + -5v = 0

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

Add '-12' to each side of the equation.
12 + -12 + -5v = 0 + -12

Combine like terms: 12 + -12 = 0
0 + -5v = 0 + -12
-5v = 0 + -12

Combine like terms: 0 + -12 = -12
-5v = -12

Divide each side by '-5'.
v = 2.4

Simplifying
v = 2.4
Solution
v = {-2, 2.4}

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