v^2-18v-37=3

Solution for v^2-18v-37=3 equation:

Simplifying
v2 + -18v + -37 = 3

Reorder the terms:
-37 + -18v + v2 = 3

Solving
-37 + -18v + v2 = 3

Solving for variable 'v'.

Reorder the terms:
-37 + -3 + -18v + v2 = 3 + -3

Combine like terms: -37 + -3 = -40
-40 + -18v + v2 = 3 + -3

Combine like terms: 3 + -3 = 0
-40 + -18v + v2 = 0

Factor a trinomial.
(-2 + -1v)(20 + -1v) = 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 '(20 + -1v)' equal to zero and attempt to solve:

Simplifying
20 + -1v = 0

Solving
20 + -1v = 0

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

Add '-20' to each side of the equation.
20 + -20 + -1v = 0 + -20

Combine like terms: 20 + -20 = 0
0 + -1v = 0 + -20
-1v = 0 + -20

Combine like terms: 0 + -20 = -20
-1v = -20

Divide each side by '-1'.
v = 20

Simplifying
v = 20
Solution
v = {-2, 20}