Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
−15x−576x3
Evaluate
−15x−4x3×144
Solution
−15x−576x3
Show Solution
Factor the expression
−3x(5+192x2)
Evaluate
−15x−4x3×144
Multiply the terms
−15x−576x3
Rewrite the expression
−3x×5−3x×192x2
Solution
−3x(5+192x2)
Show Solution
Find the roots
x1=−2415i,x2=2415i,x3=0
Alternative Form
x1≈−0.161374i,x2≈0.161374i,x3=0
Evaluate
−15x−4x3×144
To find the roots of the expression,set the expression equal to 0
−15x−4x3×144=0
Multiply the terms
−15x−576x3=0
Factor the expression
−3x(5+192x2)=0
Divide both sides
x(5+192x2)=0
Separate the equation into 2 possible cases
x=05+192x2=0
Solve the equation
More Steps
Evaluate
5+192x2=0
Move the constant to the right-hand side and change its sign
192x2=0−5
Removing 0 doesn't change the value,so remove it from the expression
192x2=−5
Divide both sides
192192x2=192−5
Divide the numbers
x2=192−5
Use b−a=−ba=−ba to rewrite the fraction
x2=−1925
Take the root of both sides of the equation and remember to use both positive and negative roots
x=±−1925
Simplify the expression
More Steps
Evaluate
−1925
Evaluate the power
1925×−1
Evaluate the power
1925×i
Evaluate the power
2415i
x=±2415i
Separate the equation into 2 possible cases
x=2415ix=−2415i
x=0x=2415ix=−2415i
Solution
x1=−2415i,x2=2415i,x3=0
Alternative Form
x1≈−0.161374i,x2≈0.161374i,x3=0
Show Solution