5v^2-33v+48=8

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Solution for 5v^2-33v+48=8 equation: 


Simplifying
5v2 + -33v + 48 = 8

Reorder the terms:
48 + -33v + 5v2 = 8

Solving
48 + -33v + 5v2 = 8

Solving for variable 'v'.

Reorder the terms:
48 + -8 + -33v + 5v2 = 8 + -8

Combine like terms: 48 + -8 = 40
40 + -33v + 5v2 = 8 + -8

Combine like terms: 8 + -8 = 0
40 + -33v + 5v2 = 0

Factor a trinomial.
(8 + -5v)(5 + -1v) = 0


Subproblem 1
Set the factor '(8 + -5v)' equal to zero and attempt to solve:

Simplifying
8 + -5v = 0

Solving
8 + -5v = 0

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

Add '-8' to each side of the equation.
8 + -8 + -5v = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -5v = 0 + -8
-5v = 0 + -8

Combine like terms: 0 + -8 = -8
-5v = -8

Divide each side by '-5'.
v = 1.6

Simplifying
v = 1.6

Subproblem 2
Set the factor '(5 + -1v)' equal to zero and attempt to solve:

Simplifying
5 + -1v = 0

Solving
5 + -1v = 0

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

Add '-5' to each side of the equation.
5 + -5 + -1v = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1v = 0 + -5
-1v = 0 + -5

Combine like terms: 0 + -5 = -5
-1v = -5

Divide each side by '-1'.
v = 5

Simplifying
v = 5
Solution
v = {1.6, 5}

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