Question
Simplify the expression
−8x−74x4
Evaluate
−8x−37x4×2
Solution
−8x−74x4
Show Solution

Factor the expression
−2x(4+37x3)
Evaluate
−8x−37x4×2
Multiply the terms
−8x−74x4
Rewrite the expression
−2x×4−2x×37x3
Solution
−2x(4+37x3)
Show Solution

Find the roots
x1=−3735476,x2=0
Alternative Form
x1≈−0.476379,x2=0
Evaluate
−8x−37(x4)×2
To find the roots of the expression,set the expression equal to 0
−8x−37(x4)×2=0
Calculate
−8x−37x4×2=0
Multiply the terms
−8x−74x4=0
Factor the expression
−2x(4+37x3)=0
Divide both sides
x(4+37x3)=0
Separate the equation into 2 possible cases
x=04+37x3=0
Solve the equation
More Steps

Evaluate
4+37x3=0
Move the constant to the right-hand side and change its sign
37x3=0−4
Removing 0 doesn't change the value,so remove it from the expression
37x3=−4
Divide both sides
3737x3=37−4
Divide the numbers
x3=37−4
Use b−a=−ba=−ba to rewrite the fraction
x3=−374
Take the 3-th root on both sides of the equation
3x3=3−374
Calculate
x=3−374
Simplify the root
More Steps

Evaluate
3−374
An odd root of a negative radicand is always a negative
−3374
To take a root of a fraction,take the root of the numerator and denominator separately
−33734
Multiply by the Conjugate
337×3372−34×3372
Simplify
337×3372−34×31369
Multiply the numbers
337×3372−35476
Multiply the numbers
37−35476
Calculate
−3735476
x=−3735476
x=0x=−3735476
Solution
x1=−3735476,x2=0
Alternative Form
x1≈−0.476379,x2=0
Show Solution
