v^2+10v-33=6

Solution for v^2+10v-33=6 equation:

Simplifying
v2 + 10v + -33 = 6

Reorder the terms:
-33 + 10v + v2 = 6

Solving
-33 + 10v + v2 = 6

Solving for variable 'v'.

Reorder the terms:
-33 + -6 + 10v + v2 = 6 + -6

Combine like terms: -33 + -6 = -39
-39 + 10v + v2 = 6 + -6

Combine like terms: 6 + -6 = 0
-39 + 10v + v2 = 0

Factor a trinomial.
(-13 + -1v)(3 + -1v) = 0

Subproblem 1
Set the factor '(-13 + -1v)' equal to zero and attempt to solve:

Simplifying
-13 + -1v = 0

Solving
-13 + -1v = 0

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

Add '13' to each side of the equation.
-13 + 13 + -1v = 0 + 13

Combine like terms: -13 + 13 = 0
0 + -1v = 0 + 13
-1v = 0 + 13

Combine like terms: 0 + 13 = 13
-1v = 13

Divide each side by '-1'.
v = -13

Simplifying
v = -13
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 = {-13, 3}