5v^2+7v-24=0

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Solution for 5v^2+7v-24=0 equation:


Simplifying
5v2 + 7v + -24 = 0

Reorder the terms:
-24 + 7v + 5v2 = 0

Solving
-24 + 7v + 5v2 = 0

Solving for variable 'v'.

Factor a trinomial.
(-3 + -1v)(8 + -5v) = 0


Subproblem 1
Set the factor '(-3 + -1v)' equal to zero and attempt to solve:

Simplifying
-3 + -1v = 0

Solving
-3 + -1v = 0

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

Add '3' to each side of the equation.
-3 + 3 + -1v = 0 + 3

Combine like terms: -3 + 3 = 0
0 + -1v = 0 + 3
-1v = 0 + 3

Combine like terms: 0 + 3 = 3
-1v = 3

Divide each side by '-1'.
v = -3

Simplifying
v = -3

Subproblem 2
Set the factor '(8 + -5v)' equal to zero and attempt to solve:

Simplifying
8 + -5v = 0

Solving
8 + -5v = 0

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

Add '-8' to each side of the equation.
8 + -8 + -5v = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -5v = 0 + -8
-5v = 0 + -8

Combine like terms: 0 + -8 = -8
-5v = -8

Divide each side by '-5'.
v = 1.6

Simplifying
v = 1.6
Solution
v = {-3, 1.6}

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