Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
4x3−4x2−256x
Evaluate
4x3−4x2−16x×16
Solution
4x3−4x2−256x
Show Solution
Factor the expression
4x(x2−x−64)
Evaluate
4x3−4x2−16x×16
Multiply the terms
4x3−4x2−256x
Rewrite the expression
4x×x2−4x×x−4x×64
Solution
4x(x2−x−64)
Show Solution
Find the roots
x1=21−257,x2=0,x3=21+257
Alternative Form
x1≈−7.51561,x2=0,x3≈8.51561
Evaluate
4x3−4x2−16x×16
To find the roots of the expression,set the expression equal to 0
4x3−4x2−16x×16=0
Multiply the terms
4x3−4x2−256x=0
Factor the expression
4x(x2−x−64)=0
Divide both sides
x(x2−x−64)=0
Separate the equation into 2 possible cases
x=0x2−x−64=0
Solve the equation
More Steps
Evaluate
x2−x−64=0
Substitute a=1,b=−1 and c=−64 into the quadratic formula x=2a−b±b2−4ac
x=21±(−1)2−4(−64)
Simplify the expression
More Steps
Evaluate
(−1)2−4(−64)
Evaluate the power
1−4(−64)
Multiply the numbers
1−(−256)
If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses
1+256
Add the numbers
257
x=21±257
Separate the equation into 2 possible cases
x=21+257x=21−257
x=0x=21+257x=21−257
Solution
x1=21−257,x2=0,x3=21+257
Alternative Form
x1≈−7.51561,x2=0,x3≈8.51561
Show Solution