v^2-7v-144=0

Solution for v^2-7v-144=0 equation:

Simplifying
v2 + -7v + -144 = 0

Reorder the terms:
-144 + -7v + v2 = 0

Solving
-144 + -7v + v2 = 0

Solving for variable 'v'.

Factor a trinomial.
(-9 + -1v)(16 + -1v) = 0

Subproblem 1
Set the factor '(-9 + -1v)' equal to zero and attempt to solve:

Simplifying
-9 + -1v = 0

Solving
-9 + -1v = 0

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

Add '9' to each side of the equation.
-9 + 9 + -1v = 0 + 9

Combine like terms: -9 + 9 = 0
0 + -1v = 0 + 9
-1v = 0 + 9

Combine like terms: 0 + 9 = 9
-1v = 9

Divide each side by '-1'.
v = -9

Simplifying
v = -9
Subproblem 2
Set the factor '(16 + -1v)' equal to zero and attempt to solve:

Simplifying
16 + -1v = 0

Solving
16 + -1v = 0

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

Add '-16' to each side of the equation.
16 + -16 + -1v = 0 + -16

Combine like terms: 16 + -16 = 0
0 + -1v = 0 + -16
-1v = 0 + -16

Combine like terms: 0 + -16 = -16
-1v = -16

Divide each side by '-1'.
v = 16

Simplifying
v = 16
Solution
v = {-9, 16}