Question
Factor the expression
x(5−32x2)
Evaluate
5x−32x3
Rewrite the expression
x×5−x×32x2
Solution
x(5−32x2)
Show Solution

Find the roots
x1=−810,x2=0,x3=810
Alternative Form
x1≈−0.395285,x2=0,x3≈0.395285
Evaluate
5x−32x3
To find the roots of the expression,set the expression equal to 0
5x−32x3=0
Factor the expression
x(5−32x2)=0
Separate the equation into 2 possible cases
x=05−32x2=0
Solve the equation
More Steps

Evaluate
5−32x2=0
Move the constant to the right-hand side and change its sign
−32x2=0−5
Removing 0 doesn't change the value,so remove it from the expression
−32x2=−5
Change the signs on both sides of the equation
32x2=5
Divide both sides
3232x2=325
Divide the numbers
x2=325
Take the root of both sides of the equation and remember to use both positive and negative roots
x=±325
Simplify the expression
More Steps

Evaluate
325
To take a root of a fraction,take the root of the numerator and denominator separately
325
Simplify the radical expression
425
Multiply by the Conjugate
42×25×2
Multiply the numbers
42×210
Multiply the numbers
810
x=±810
Separate the equation into 2 possible cases
x=810x=−810
x=0x=810x=−810
Solution
x1=−810,x2=0,x3=810
Alternative Form
x1≈−0.395285,x2=0,x3≈0.395285
Show Solution
