Question
Solve the equation(The real numbers system)
x∈/R
Evaluate
x3(x−1)−(1−x)=−4
Evaluate
x3(x−1)−1+x=−4
Move the expression to the left side
x3(x−1)−1+x−(−4)=0
Subtract the numbers
More Steps

Evaluate
−1−(−4)
If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses
−1+4
Add the numbers
3
x3(x−1)+3+x=0
Calculate
More Steps

Evaluate
x3(x−1)
Apply the distributive property
x3×x−x3×1
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
x4−x3×1
Any expression multiplied by 1 remains the same
x4−x3
x4−x3+3+x=0
Solution
x∈/R
Show Solution

Solve the equation(The complex numbers system)
x1≈−0.750067−0.770648i,x2≈−0.750067+0.770648i,x3≈1.250067−1.015563i,x4≈1.250067+1.015563i
Evaluate
x3(x−1)−(1−x)=−4
If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses
x3(x−1)−1+x=−4
Move the expression to the left side
x3(x−1)−1+x−(−4)=0
Subtract the numbers
More Steps

Evaluate
−1−(−4)
If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses
−1+4
Add the numbers
3
x3(x−1)+3+x=0
Calculate
More Steps

Evaluate
x3(x−1)
Apply the distributive property
x3×x−x3×1
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
x4−x3×1
Any expression multiplied by 1 remains the same
x4−x3
x4−x3+3+x=0
Calculate
x≈1.250067+1.015563ix≈1.250067−1.015563ix≈−0.750067+0.770648ix≈−0.750067−0.770648i
Solution
x1≈−0.750067−0.770648i,x2≈−0.750067+0.770648i,x3≈1.250067−1.015563i,x4≈1.250067+1.015563i
Show Solution
