6v^2-43v+48=6

Solution for 6v^2-43v+48=6 equation:

Simplifying
6v2 + -43v + 48 = 6

Reorder the terms:
48 + -43v + 6v2 = 6

Solving
48 + -43v + 6v2 = 6

Solving for variable 'v'.

Reorder the terms:
48 + -6 + -43v + 6v2 = 6 + -6

Combine like terms: 48 + -6 = 42
42 + -43v + 6v2 = 6 + -6

Combine like terms: 6 + -6 = 0
42 + -43v + 6v2 = 0

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

Subproblem 1
Set the factor '(7 + -6v)' equal to zero and attempt to solve:

Simplifying
7 + -6v = 0

Solving
7 + -6v = 0

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

Add '-7' to each side of the equation.
7 + -7 + -6v = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -6v = 0 + -7
-6v = 0 + -7

Combine like terms: 0 + -7 = -7
-6v = -7

Divide each side by '-6'.
v = 1.166666667

Simplifying
v = 1.166666667
Subproblem 2
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
Solution
v = {1.166666667, 6}