7v^2+38v-24=

Solution for 7v^2+38v-24= equation:

Simplifying
7v2 + 38v + -24 = 0

Reorder the terms:
-24 + 38v + 7v2 = 0

Solving
-24 + 38v + 7v2 = 0

Solving for variable 'v'.

Factor a trinomial.
(-6 + -1v)(4 + -7v) = 0

Subproblem 1
Set the factor '(-6 + -1v)' equal to zero and attempt to solve:

Simplifying
-6 + -1v = 0

Solving
-6 + -1v = 0

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

Add '6' to each side of the equation.
-6 + 6 + -1v = 0 + 6

Combine like terms: -6 + 6 = 0
0 + -1v = 0 + 6
-1v = 0 + 6

Combine like terms: 0 + 6 = 6
-1v = 6

Divide each side by '-1'.
v = -6

Simplifying
v = -6
Subproblem 2
Set the factor '(4 + -7v)' equal to zero and attempt to solve:

Simplifying
4 + -7v = 0

Solving
4 + -7v = 0

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

Add '-4' to each side of the equation.
4 + -4 + -7v = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -7v = 0 + -4
-7v = 0 + -4

Combine like terms: 0 + -4 = -4
-7v = -4

Divide each side by '-7'.
v = 0.5714285714

Simplifying
v = 0.5714285714
Solution
v = {-6, 0.5714285714}