v^2+7v-30=0

Solution for v^2+7v-30=0 equation:

Simplifying
v2 + 7v + -30 = 0

Reorder the terms:
-30 + 7v + v2 = 0

Solving
-30 + 7v + v2 = 0

Solving for variable 'v'.

Factor a trinomial.
(-10 + -1v)(3 + -1v) = 0

Subproblem 1
Set the factor '(-10 + -1v)' equal to zero and attempt to solve:

Simplifying
-10 + -1v = 0

Solving
-10 + -1v = 0

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

Add '10' to each side of the equation.
-10 + 10 + -1v = 0 + 10

Combine like terms: -10 + 10 = 0
0 + -1v = 0 + 10
-1v = 0 + 10

Combine like terms: 0 + 10 = 10
-1v = 10

Divide each side by '-1'.
v = -10

Simplifying
v = -10
Subproblem 2
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
Solution
v = {-10, 3}