Question
3v3−18v2=−39v
Solve the equation
v=0
Evaluate
3v3−18v2=−39v
Move the expression to the left side
3v3−18v2−(−39v)=0
If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses
3v3−18v2+39v=0
Factor the expression
3v(v2−6v+13)=0
Divide both sides
v(v2−6v+13)=0
Separate the equation into 2 possible cases
v=0v2−6v+13=0
Solve the equation
More Steps

Evaluate
v2−6v+13=0
Substitute a=1,b=−6 and c=13 into the quadratic formula v=2a−b±b2−4ac
v=26±(−6)2−4×13
Simplify the expression
More Steps

Evaluate
(−6)2−4×13
Multiply the numbers
(−6)2−52
Rewrite the expression
62−52
Evaluate the power
36−52
Subtract the numbers
−16
v=26±−16
The expression is undefined in the set of real numbers
v∈/R
v=0v∈/R
Solution
v=0
Show Solution
