Question
Solve the equation
x∈/R
Alternative Form
No real solution
Evaluate
2x3−4x2×2x−x2−2=0
Simplify
More Steps

Evaluate
2x3−4x2×2x−x2−2
Multiply
More Steps

Multiply the terms
−4x2×2x
Multiply the terms
−8x2×x
Multiply the terms with the same base by adding their exponents
−8x2+1
Add the numbers
−8x3
2x3−8x3−x2−2
Subtract the terms
More Steps

Evaluate
2x3−8x3
Collect like terms by calculating the sum or difference of their coefficients
(2−8)x3
Subtract the numbers
−6x3
−6x3−x2−2
−6x3−x2−2=0
Multiply both sides of the equation by LCD
(−6x3−x2−2)x=0×x
Simplify the equation
More Steps

Evaluate
(−6x3−x2−2)x
Apply the distributive property
−6x3×x−x2×x−2x
Simplify
−6x3×x−2−2x
Multiply the terms
More Steps

Evaluate
x3×x
Use the product rule an×am=an+m to simplify the expression
x3+1
Add the numbers
x4
−6x4−2−2x
−6x4−2−2x=0×x
Any expression multiplied by 0 equals 0
−6x4−2−2x=0
Factor the expression
−2(3x4+1+x)=0
Divide both sides
3x4+1+x=0
Solution
x∈/R
Alternative Form
No real solution
Show Solution
