Question
Simplify the expression
−9x−40x5
Evaluate
−5x−4x3×x×10x−4x
Multiply
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Multiply the terms
−4x3×x×10x
Multiply the terms
−40x3×x×x
Multiply the terms with the same base by adding their exponents
−40x3+1+1
Add the numbers
−40x5
−5x−40x5−4x
Solution
More Steps

Evaluate
−5x−4x
Collect like terms by calculating the sum or difference of their coefficients
(−5−4)x
Subtract the numbers
−9x
−9x−40x5
Show Solution

Factor the expression
−x(9+40x4)
Evaluate
−5x−4x3×x×10x−4x
Multiply
More Steps

Multiply the terms
4x3×x×10x
Multiply the terms
40x3×x×x
Multiply the terms with the same base by adding their exponents
40x3+1+1
Add the numbers
40x5
−5x−40x5−4x
Subtract the terms
More Steps

Evaluate
−5x−4x
Collect like terms by calculating the sum or difference of their coefficients
(−5−4)x
Subtract the numbers
−9x
−9x−40x5
Rewrite the expression
−x×9−x×40x4
Solution
−x(9+40x4)
Show Solution

Find the roots
x1=−2049000−2049000i,x2=2049000+2049000i,x3=0
Alternative Form
x1≈−0.487002−0.487002i,x2≈0.487002+0.487002i,x3=0
Evaluate
−5x−4x3×x×10x−4x
To find the roots of the expression,set the expression equal to 0
−5x−4x3×x×10x−4x=0
Multiply
More Steps

Multiply the terms
4x3×x×10x
Multiply the terms
40x3×x×x
Multiply the terms with the same base by adding their exponents
40x3+1+1
Add the numbers
40x5
−5x−40x5−4x=0
Subtract the terms
More Steps

Simplify
−5x−40x5−4x
Subtract the terms
More Steps

Evaluate
−5x−4x
Collect like terms by calculating the sum or difference of their coefficients
(−5−4)x
Subtract the numbers
−9x
−9x−40x5
−9x−40x5=0
Factor the expression
−x(9+40x4)=0
Divide both sides
x(9+40x4)=0
Separate the equation into 2 possible cases
x=09+40x4=0
Solve the equation
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Evaluate
9+40x4=0
Move the constant to the right-hand side and change its sign
40x4=0−9
Removing 0 doesn't change the value,so remove it from the expression
40x4=−9
Divide both sides
4040x4=40−9
Divide the numbers
x4=40−9
Use b−a=−ba=−ba to rewrite the fraction
x4=−409
Take the root of both sides of the equation and remember to use both positive and negative roots
x=±4−409
Simplify the expression
More Steps

Evaluate
4−409
To take a root of a fraction,take the root of the numerator and denominator separately
4404−9
Simplify the radical expression
44026+26i
Simplify
24406+24406i
Rearrange the numbers
2049000+24406i
Rearrange the numbers
2049000+2049000i
x=±(2049000+2049000i)
Separate the equation into 2 possible cases
x=2049000+2049000ix=−2049000−2049000i
x=0x=2049000+2049000ix=−2049000−2049000i
Solution
x1=−2049000−2049000i,x2=2049000+2049000i,x3=0
Alternative Form
x1≈−0.487002−0.487002i,x2≈0.487002+0.487002i,x3=0
Show Solution
